Arteta took with him to Arsenal the benefits of Moyes's wisdom last January.
"He is a manager who really looks after the players, not only in football terms but any time you have a problem, he is always behind you," Arteta told the London Evening Standard.
"What he does with the group is amazing because sometimes, when I was there, we had 12 or 13 players training. It was very small squads all the time because Everton cannot manage to pay 24 good wages. The way he takes everything out of the players and keeps demanding more of them without killing them psychologically, it is a very difficult thing to do as a manager."