The United manager has picked seven other players ahead of the Crystal Palace signing to play on the flanks. The Ivory Coast winger has yet to make an appearance for the Red Devils in the Premier League, with just a single showing in August's Community Shield win over Wigan.
Moyes believes that the 20-year old has still much to learn and will need to adjust himself to the style and pace at Old Trafford before playing regularly for the championship team.
Moyes said: "Wilf has not appeared. 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."
Danny Welbeck, Ryan Giggs, Antonio Valencia, Ashley Young, Nani, Shinji Kagawa and Adnan Januzaj have been preferred to Zaha on the wings.
The former Selhurst Park player joined United in January 2013, signing a five-and-a-half-year contract that was worth 15 million pounds.