The Toffees, who were beaten by Merseyside rivals Liverpool in last season's semi-finals, overcame Oldham Athletic 3-1 in a fifth-round replay to reach the last eight.
If Wigan Athletic win, they will reach the semi-finals of the competition for the first time in the club's history. They have already matched their best showing in the FA Cup, which was a quarter-final appearance in 1987.
Martinez could stick with the same XI which were beaten 4-0 by Liverpool last weekend.
Possible starting lineups
Everton: Mucha; Coleman, Baines, Distin, Jagielka; Gibson, Fellaini, Osman, Pienaar; Mirallas, Anichebe
Wigan: Al-Habsi; Scharner, Caldwell, Figueroa; Boyce, McCarthy, Maloney, McArthur, Beausejour; Kone, Di Santo
Sports Mole says: 2-1