Odemwingie has not started for the Baggies since he failed to secure a move to Queens Park Rangers on transfer deadline day, but Clarke has revealed that the Nigerian striker could replace the ineligible Romelu Lukaku against Chelsea on Saturday.
The 49-year-old told the Birmingham Mail: "Peter is fine. He has been good in training all week. He's worked hard and he knows Romelu can't play, so he knows he's got a chance to play.
"I said before and I'll say again, Peter is an important part of the squad."
The 31-year-old has scored five goals in 18 appearances for West Brom this season.