Gibson was dismissed by referee Anthony Taylor for a high challenge on Mark Noble in Everton's 2-1 win at Upton Park, a game that also saw West Ham striker Carlton Cole sent off for a challenge on Leighton Baines.
Everton lodged their appeal with the Football Association on Christmas Eve, meaning Gibson was able to face Wigan on Boxing Day, and announced on their website on Thursday that the dismissal had been quashed at a hearing.
It means the former Manchester United player will not face a three-match ban.
Source: PA
Source: PA