Moyes believes Anichebe's form is down to improved self-belief.
"I think there have been a lot of times when Victor has been questioned and maybe even our faith in him at times," he said.
"But I hope he has seen we always believed there was a really good player in there if we could get it out of him.
"He has been needing support from the crowd because for a long time I think he was probably believing they weren't behind him or didn't value him as a player and maybe some of the things he has done on the pitch you wouldn't have (done so).
"But we have tried to keep with him and work with him and he made a big contribution, scoring a goal, was a threat and was challenging high up the pitch.
"He is doing really well for us at the moment. We have brought him in and given Jela a breather and I think Victor is deservedly playing up front at the moment by how he is doing."