Having travelled with the squad to Anfield on Monday night, the Nigerian sat in the stand to watch the Baggies' surprise 2-0 win over Liverpool, their first victory since Boxing Day.
Clarke said the 31-year-old, who was disciplined by the club after trying to force a deadline-day move to QPR by driving to Loftus Road, was involved with the team in the pre-match build-up and hopes he can soon return in a playing capacity.
Clarke had suggested prior to the Liverpool match that Odemwingie might be involved for the first time since January 19, but insisted there was nothing sinister in his eventual decision to leave him out.
"It wasn't an additional punishment and he was involved, that is why he was there," he said.
"He was in the dressing room, he was delighted for his team-mates and was there to support them and help them.
"It is all part of what being part of a squad is about.
"Peter makes his contribution and will make a contribution in the season going forward."