The Premier League side are not permitted to sell tickets
for any matches after the public authority froze the resources of Russian proprietor Roman Abramovich.
Chelsea at first made the solicitation "for issues of wearing uprightness".
"After helpful discussions between the FA and Chelsea, the club has consented to eliminate their solicitation," the FA said.
"The FA stays in continuous conversations with Chelsea, the Premier League and the public authority to observe an answer that would empower both Chelsea fans to go to games and away fans to go to Stamford Bridge, while guaranteeing sanctions are regarded."
Chelsea said it was "appreciative for the FA's proceeding with endeavors to assist us with tracking down an answer".
The state leader's true representative said the public authority is working with the football specialists to permit more Chelsea allies to go to away matches, however added that any progressions should guarantee "no extra income can be raised given the club is possessed by a singular presently authorized in the UK".
Is this a snapshot of retribution for English football possession?
Football can oversee without Russian cash - Huddleston
Abramovich: New proof features degenerate arrangements
Middlesbrough have placed 3,200 extra tickets on special to their allies after they were gotten back to the club by Chelsea in light of government sanctions.
The Championship club had said they would have tested the "peculiar" and "amusing" solicitation to play the quarter-last away from public scrutiny - which was set to be talked about at a FA meeting on Wednesday - "in the most grounded potential terms".
Before the solicitation was removed, Middlesbrough director Steve Gibson told the Athletic
: "Chelsea and donning respectability don't have a place in a similar sentence.
"Where is the mind of Bruce Buck, the administrator of Chelsea, who has been a defender for his proprietor, where the prizes prevailed upon 19 years have come from the bad cash given by Abramovich?" Gibson added.
"Where is the keenness of the administrator of Chelsea with regards to playing his games at home before his season-ticket holders? Does he need to play all his away games at void arenas?
"Abramovich has been kicked out of football and Bruce Buck ought to be kicked out of football as well."
Chelsea Supporters' Trust had before requested that the club pull out the solicitation, saying it "doesn't benefit" any fans.
Chelsea needed to keep up with 'wearing respectability'
'I will pay it, no issue' - Kai Havertz on Chelsea away game travel
Chelsea had sold somewhere in the range of 500 and 600 tickets of their 4,620 portion before the permit putting limitations on the club became effective on 10 March.
The action was acquainted with stop oligarch Abramovich, who is hoping to sell Chelsea, from benefiting.
He has been prohibited from being a club chief and the offer of Chelsea has been deferred after the UK government endorsed him over his association with Russian President Vladimir Putin.
Chelsea said they made the solicitation to the FA to play Saturday's down away from public scrutiny "with outrageous hesitance", saying they had done as such "for issues of donning respectability".
An assertion read: "Chelsea FC perceives that such a result would enormously affect Middlesbrough and its allies, as well as our own fans who have proactively purchased the set number of tickets that were sold before the permit was forced, however we accept this is the most attractive approach to continuing in the momentum conditions."
Middlesbrough, who have taken out Premier League sides Manchester United and Tottenham in the current year's opposition, answered: "To propose therefore that MFC and our fans ought to be punished isn't just horribly unreasonable however with no establishment.
"Given the explanations behind these approvals, for Chelsea to look to conjure brandishing 'honesty' as justification for the game being played in secret is unexpected in the limit."
Government in conversations over additional ticket deals
Chelsea said on Monday they were conversing with the public authority consistently "looking for a goal" to the issue of selling tickets, and that the Premier League and FA had addressed the public authority about the potential donning honesty issues raised.
The public authority last week conceded an alteration to the permit, permitting Chelsea to burn through £900,000 on costs for home games - up from the £500,000 set on Thursday.
Anyway the passable away expenses stay at £20,000 per game.
Sports serve Nigel Huddleston said the public authority is in "conversations" with Chelsea "to take a gander at ways we might actually empower further ticket deals".
Talking at a Digital, Culture, Media and Sport (DCMS) meeting about the job of Russian cash in the possession and sponsorship of clubs, Huddleston said permit corrections taken up to this point were "exactly to stop" Chelsea from going into organization.
Travel needs are about wounds, not 'bling' - Tuchel
Chelsea director Thomas Tuchel, whose side face Lille in the Champions League most recent 16 second leg on Wednesday, said they have made acclimation to go with a spending plan of £20,000.
The sum spent on movement for an away Premier League match is about £30,000, while European away installations add an additional a premium.
Tuchel said travel needs were revolved around players keeping away from conceivable delicate tissue wounds during a bustling timetable as opposed to "extravagance and bling".
"This is only an expert degree of sports, where we play with two days between coordinates with our adversary having four days among coordinates and we show up with the potential outcomes of wounds," he said. "For that, it is smarter to show up with a plane instead of a transport."
"From my agreement, we have a structure to proceed to play in Lille with positively no good reasons.
"As to associations, it is as of now more hard to orchestrate things on an expert level, in the most effective way conceivable, for the FA Cup.
"In any case, we will manage it. However long we have shirts and are 'alive' collectively, we will be cutthroat and contend energetically for our prosperity. We owe it to individuals who support us.
"We are at the center of attention and it is our obligation to do as such. We will get it done."
'Blues could be millions from cash on hand'
BBC Sport's Simon Stone
BBC Sport has been informed Chelsea never thought it was reasonable the Football Association would consent to their solicitation.
In any case, it was done to attempt to get the public authority to comprehend the intricacies around the dilemma they are in.
Under FA rules, Chelsea are qualified for 45% of the door receipts from Saturday's down. In principle, that should net the Blues in overabundance of £300,000.
However, they have no clue about whether they will get the installment - or whether it will be kept inside the provisions of the unique permit, passed out by the public authority, which they are working under.
In April, they have home games against Brentford and West Ham - and could likewise have a Champions League quarter-last and FA Cup semi-last to play. On the off chance that Chelsea are not permitted to sell tickets, they will be a huge number of hammers cash based which could damaging affect the club.
All that you really want to be familiar with your Premier League group standard
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