Moyes has won praise for adding Ryan Giggs and Phil Neville to his backroom team.
"I think David Moyes has made a very intelligent move adding Giggsy to his staff and bringing back Phil Neville. I am sure Scholesy will be back too," Harrison told the Manchester Evening News.
"I think they will all be a massive help to David. Just look at the experience. Ryan Giggs, for one example, 1000 games, if you can't learn from that you must be an idiot!"