United have been linked with coaches such as Louis van Gaal and Jurgen Klopp since parting company with Moyes on Tuesday, but Neville does not believe that managers of that calibre are needed to attract world-class players.
"The suggestion that they need a big manager to attract players to the club, I find that a bit sad to be fair," Neville told Sky Sports News
"The idea that Manchester United Football Club need to have a sort-of figurehead to be able to attract players is a nonsense as far as I'm concerned.
"Manchester United, as a football club, is big enough in its own right to be able to attract players - and they should be."
Moyes released a statement on Wednesday insisting that he was "incredibly proud" to have been given a chance at Old Trafford.