The 20-year-old's repeated absence has led to speculation that he could soon be sent out on loan by the Premier League champions.
However, Moyes wants Zaha to continue training hard before he is given a chance at Old Trafford.
"Wilf has not appeared," the Scot is quoted as saying by the Daily Star. "We have not felt we have had the opportunity.
"I want Wilf to get used to what happens here. The competition is hard. It is just impossible to get all these players a game at the one time. You can only ever play 11.
"It is important Wilf gets to see the level of the training here, the level of the players and the quality they have got. He is getting better which we are pleased about."
United are back in Premier League action on Saturday when they host Southampton.