In a social media post on Wednesday, Emery said Villarreal is "my home".
"I am grateful for the hobby of a awesome club, but even more grateful to be right here," he wrote.
Emery thanked Villarreal president Fernando Roig and his circle of relatives for their support, adding: "No remember how lots noise there was the day before today overseas, inside the club there was transparency and loyalty with the Roig own family and with my squad, and for me it's miles the most critical component.
"Villarreal is my domestic and I am one hundred% devoted.
"That is why I communicated to Fernando Roig my choice to need to retain being a part of this mission due to the commitment and appreciate that I perceive from the club and from my gamers, that is mutual and reciprocal."
Newcastle had was hoping to have the Spaniard in place by way of the weekend.
Instead, their manager seek maintains, with former Bournemouth boss Eddie Howe and Paulo Fonseca, who left Roma in May, feasible alternatives.
Spanish soccer expert Guillem Balague says those advising Emery have been left feeling uncertain approximately the membership's strategy, with memories in England emerging that the shortlist turned into all the way down to him and Howe - two men with contrasting strategies and massively different tiers of enjoy inside European soccer.
"Emery felt a massive strain on the day in their in shape [a 2-0 win over Young Boys in the Champions League on Tuesday]," said Balague.
"And then there was the dearth of a clean vision from the club. If you need him, do you approach him in the sort of rushed manner, with out an official provide and with it coming out from the English aspect that it's miles all practically completed?
"Also, the distinct wide variety and style of the candidates being taken into consideration appears to be a signal of a pressured vision. That changed into a subject to a number of those worried in conversations with the club hierarchy."
BBC's chief soccer writer Phil McNulty
Unai Emery's choice to stay at Villarreal as opposed to take over as Newcastle United's new manager is a bitter blow to the club's Saudi Arabian hierarchy and maintains a faltering start to their time in fee.
In a snow fall of positive messages coming out of the north-east of England on Tuesday, it appeared Emery would locate the attraction of Gynecide not possible to resist and he would be in his put up before the end of the week to oversee the terrific revival.
There turned into even a video unearthed of Emery supposedly looking at wistfully around St James' Park all through his time at Arsenal, probably suggesting that this was the place he became usually destined to come back.
It emerged in Spain, after Emery had guided Villarreal to victory over Young Boys of Berne in the Champions League on Tuesday night, that this became now not pretty the carried out deal and he become supposedly less than impressed via the lack of a clean imaginative and prescient in Newcastle's destiny plan.
The affirmation of this unfavorable setback came in assertion from Emery re-maintaining his commitment to Villarreal, leaving Newcastle's cash-no-item proprietors to look through the list of applicants below Emery on their listing.
This has been a less-than-ideal sunrise to this brave new global at Newcastle United, with Steve Bruce's inevitable sacking behind schedule, more terrible consequences and their top target staying put in Spain.
The traditional suspects will now be rounded up, with former Bournemouth supervisor Eddie Howe the early alternative, however they may all understand they may be 2d preference at exceptional after Emery's very public rejection of any hobby Newcastle had shown.
Newcastle can't have the funds for any extra miss-steps. They want to get their new guy in and speedy because, just in case anybody has forgotten amid the hysteria and jubilation of former proprietor Mike Ashley's departure, they've a team that currently has "relegation" stamped over it and all of the cash inside the international won't assist them except they stay within the Premier League this season
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