Lanzini grabbed the headlines last weekend when he cracked in West Ham's equaliser at Spurs with a screamer.
Moyes was asked if that will help the Argentine, who was making his first appearance in the Premier League this season, regain his best form.
"No doubt the injury has had an impact on where he is but I don't see a reason why he can't get back to that level," says Moyes.
"I can see the improvement in training, he's got competition and when you have competition the best thing you can do is what he did the other night.
"We've got really good competition for places at the moment and we want Manu to be a part of that because he has talent and we want talented players."