Rahman is on the list of players who will be travelling to the Asian nation to watch the World Cup with their respective nations, along with Romelu Lukaku of Belgium and Nathan Ampadu of Wales.
The 27-year-old will represent Ghana in his first World Cup match while on loan at Reading this year.
In the final pre-game match in Abu Dhabi on Thursday, Ghana's 2-0 victory over Switzerland featured the left-back.
Since making his debut for Ghana in 2014, Baba has played 47 times.
Tariq Lamptey, a product of the Chelsea academy, is also included on the Ghana World Cup roster.
Here is Ghana's team.
Goalkeepers: Manaf Nurudeen, Lawrence Ati-Zigi (St. Gallen), and Danlad Ibrahim (Asante Kotoko) (Eupen)
Defenders: Gideon Mensah of AJ Auxerre, Denis Odoi of Club Brugge, Mohammed Salisu of Southampton, Alidu Seidu of Leicester City, Abdul-Rahman Baba of Reading, Alexander Djiku of Racing Strasbourg, Tariq Lamptey of Brighton & Hove Albion, Joseph Aidoo of Celta Vigo (Clermont Foot)
Midfielders: Andre Ayew (Al Sadd), Salis Abdul Samed (Arsenal), Mohammed Kudus (Ajax Amsterdam), Daniel-Kofi Kyereh (SC Freiburg), Elisha Owusu (Gent) (Racing Lens)
Forwards: Antoine Semenyo (Bristol City), Kamal Sowah (Club Bruges), Kamaldeen Sulemana (Stade Rennes), Daniel Afriyie (Hearts of Oak), Jordan Ayew (Crystal Palace), Osman Bukari (Red Star Belgrade), Issahaku Abdul Fatawu (Sporting Lisbon), Kamal Sowah (Club Bruges), and Inaki Williams (Athletic Bilbao).
What time are Ghana's games? Ghana will play Portugal on November 24 at 4 p.m.
South Korea vs. Ghana, Doha, November 28, 1pm
Ghana vs. Uruguay, 2 December, 3pm, Al Wakrah
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