The Nigerian came on to play just a few short miles from where he had hoped to now be plying his trade - QPR.
Clarke said: "Listen, the Peter Odemwingie saga for us is over. It's finished.
"He's a key member of our squad and he's got a big part to play for the rest of the season."
Odemwingie was to the fore late on, but Albion could not find the equaliser.
"We stayed in the game until the last minute but couldn't quite get the clear-cut chance that would've got us a point," Clarke added.