The 34-year-old was banned for five matches and fined £80,000 by the Football Association on Thursday for his controversial 'quenelle' goal celebration during December's win over West Ham, a gesture the ruling body decided was an "aggravated breach" of their anti-discrimination rules.
The Baggies suspended the French striker following the FA ruling and have launched their own investigation into the matter.
The commission ruled that Anelka was not an anti-Semite, but Alan Cleverley, secretary of the official West Brom supporters' club, thinks the punishment was just and he believes the striker has played his last game for the Baggies.
"I would be very surprised if he played again," Cleverley said. "There are 11 games to go and he will miss a minimum of five so it would be a surprise. I think he got what he deserved.
"He wouldn't be missed. It might be for the best if he didn't play again. It has caused the club a few problems.
"I am quite happy if he doesn't play again and most fans think the same. Let's move on."
West Brom are locked in a relegation battle, just one point and one place above the relegation zone, having failed to win in seven games, the last six of which were under new manager Pepe Mel.
Cleverley believes Anelka would not have the stomach to help Albion escape the drop if he returned.
"Most supporters think he would not be up to the battle," Cleverley said.
"He has not shown that much this season in the games that he has played. He has only scored two goals and both of those came in (the West Ham) match.
"You would hardly call him a raving success. It was interesting to watch him play sometimes, but in a relegation battle you have to dig in deep, get stuck in and I am not sure he is the right player for that."