Leading scorer Robin Van Persie will be rested for the game, leaving a chance for Park – as well as Chamakh and Henry - to impress.
The 26-year-old has only made four appearances for the Gunners since his August move from Monaco, netting just once in the League Cup victory over Bolton.
The striker, who is yet to make his Premier League debut, seems certain to play a role in the FA Cup game.
"Robin van Persie will certainly be rested for this game," Wenger told the club's website.
"We will hopefully have Chamakh available, Park available."
Park joined Arsenal from Monaco in the summer for a fee believed to be around £3m.