The Nigeria forward saw red in the game at Craven Cottage on Saturday
It is his first red card this season and he will likely miss three matches.
Fulham were leading 1-0 before Odemwingie was given the marching orders. Dimitar Berbatov doubled the lead minutes later by scoring from the spot for his second of the day.
The hosts scored their third through Steve Sidwell in the second half to cap a comprehensive victory.