Dutchman Overmars is currently enjoying his role as technical director at Ajax after being appointed last summer.
He told the Evening Standard: "When you get older as a player, you work out what your qualities are for the future. I was quite fast to realise being a manager was not my job.
"I've never discussed it with Arsene Wenger. But if the board think about the future and make a list of people to work at the club, it wouldn't surprise me if I am on the list of people.
"However, at this moment, I want to stay at Ajax."