Odemwingie, who kicked out at Sascha Riether in the match, has also insisted that he will not react like that again in future.
"Now I have time to think about the whole scenario and what really happened," Odemwingie said. "I felt a good kick on my ankle, maybe from the back, and the linesman wasn't far.
"Nobody noticed it and I felt a bit of injustice, so I lost my temper at that moment.
"If I am in a similar situation I will make sure I do not make a repeat of it."
The defeat to Fulham was West Brom's first of the season.