The Holland international, who is out of contract with the Dutch giants in 2012, is expected to leave Amsterdam at the end of the season.
Ajax coach Martin Jol has linked Stekelenburg with a switch to Old Trafford, and while the 28-year-old has not heard anything from the Premier League club, he admits he would be interested in a potential move.
"That is a club where everyone wants to play," Stekelenburg told Dutch sports magazine NuSport. "If Jol said he is aware of the interest, I will take notice.
"(However) my agent and I haven't heard anything yet."
Whatever happens next year, Stekelenburg insists he will not be extending his contract at Ajax when it expires.
"No it won't happen," he added. "If you look at my contract it has only one year left after this season.
"Ajax wants money for me and I have no problem with that. Financially, it would be the most interesting to sell me this summer.
"However only I will decide about my future. I want to go to a top league and not to a relegation candidate.
"Otherwise I prefer to stay for one year longer at Ajax. I don't have to leave (next summer)."
The shot-stopper has ruled out making a move in the January transfer window, insisting he still has work to do in Amsterdam.
"I won't leave this winter break," he said. "Kenneth (Vermeer) won't be fit at that time and I don't prefer a move at that time.
"I started this season at Ajax to battle for the title and the Champions League adventure and I want to be there until the end.
"I believe in this squad. We can do a lot of beautiful things."