The Gunners' wrongful dismissal claim has been rejected by the Football Association and the France international will sit out the game at Wembley
Laurent Koscielny will miss the FA Cup after Arsenal's appeal against the defender's red card in a Premier League game against Everton was rejected.
Koscielny was dismissed in the first half of Sunday's 3-1 victory at Emirates Stadium after a late challenge on Enner Valencia.
Arsenal launched an appeal against the decision of referee Michael Oliver but the Football Association rejected the club's plea on Tuesday.
Koscielny will therefore serve a three-match ban, the first game of which will be Saturday's FA Cup final against Premier League champions Chelsea at Wembley.