The former Everton defender announced his retirement from playing last week while coaching with the England Under-21 squad and has been working towards his UEFA A license this year.
Neville, 36, has been linked with a number of Football League managerial positions, including Brighton, while his experience with the Under-21s could make him a contender to succeed Stuart Pearce.
However, the Bury-born ex-United star wants to stay in the north west and will get an opportunity as part of Moyes' new team, which will also include former Goodison Park number two Steve Round.
However, while Moyes and Round come in on six-year contracts, Neville is unlikely to remain at Old Trafford that long because he has designs on becoming a manager in his own right before he turns 40.
Chris Woods is set to come in as goalkeeper coach to replace Eric Steele and Jimmy Lumsden will be the direct replacement for Rene Meulensteen, who is looking for a new club after only being offered a reduced role in the new set-up.