Van der Sar has been Ajax's chief executive since 2016, while Overmars took on the role of director of football in 2012.
The Dutch giant has claimed two Eredivisie titles and two KNVB Cup triumphs in the five years since the former goalkeeper was appointed, also appearing in a Champions League semi-final.
However, the 51 year-old claimed he is not satisfied with his achievements at the club he started his professional career with, as he expressed his desire to achieve even more success.
"I think Marc and myself are enjoying it very much here at Ajax," Van der Sar said. "The freedom and rewards, the level of the club is still growing. That brings joy to yourself and gives you a lot of confidence. We're easy in that way.
"For the moment I'm really happy in Amsterdam. I think we're not ready [to leave] yet. We can make a step higher and that's something we're aiming for. To be really, really successful on the pitch. It's not easy, but we're going [to give it a] go."
Van der Sar explained that players and coaches often feel they outgrow Ajax and look to move on, but he is determined to delay the departure of manager Erik ten Hag for as long as possible.
"You see it also with players, sometimes they think they're finished at Ajax and want to take the next step," Van der Sar said. "I've seen it myself when I went from Ajax to Juventus – it wasn't a natural fit. The level of football, the family, the expectations, it can be difficult abroad.
"But someone with the quality of Erik and the way he lets Ajax play and tick for the last four years, it's obvious there's a lot of interest in him. He is named among the big clubs in Europe.
"Eventually, he will take the next step, but we will try to delay it as long as possible but of course, at a certain point it's up to him. But we have to challenge him and make sure he maybe sees will there be a next level – can we be even better?
"That's what we're working hard for to make sure the players are staying, the scouting brings new talents and the structure around him are ready for a successful period."
Ten Hag will be hoping for another deep run into the latter stages of the Champions League after being drawn against Benfica in the round of 16.