The Scot's final match at Goodison Park after 11 years in charge ended in a 2-0 win over West Ham but he admits much has changed since he walked out onto the famous turf prior to a 2-1 win over Fulham in March 2002.
Chairman Bill Kenwright could probably not have envisaged what an inspired choice it would be bringing in Moyes from Preston, then a Championship club.
However, as Moyes prepares for a new chapter in charge of Manchester United next season he thinks Kenwright has a tougher task now finding a replacement.
"I hope people will think the chairman made a good decision then and I am sure he will make a good decision now," he said.
"The chairman took a gamble at that time, giving a young British manager an opportunity to work so he needs a lot of credit for that.
"I think the difference now is when I took over it was maybe a bit easier to bring in someone a little bit less experienced.
"Maybe now where Everton are that might not be quite the case but if he wants me help I'll help him with whatever he wants.
"I'll do everything I can to help him in what he chooses to do next."