Wigan's Roberto Martinez has already been ousted as favourite by Neil Lennon, whose performances in the Champions League with Celtic this season offers an experience at the highest level even Moyes cannot match.
"I'll help Everton as much as I possibly can," said Moyes.
"Walter Smith recommended me for the job here and if there is anything I can do to help Bill Kenwright with what happens next I will be more than happy to do so.
"It is a great opportunity. Everton is a well-run club and we don't get ourselves into too much trouble.
"There is a brilliant training ground and a great set of players with a terrific attitude.
"Whoever comes in is coming into a really good environment."