Celtic and Aberdeen are both in the hunt for a new manager but, despite history with both sides, Stark claims he is not interested.
He made over 100 appearances for the Dons during the height of their success in the 1980s before spells as a player and assistant manager to Tommy Burns at Parkhead.
But Stark insists he is happy to focus on his role as Scottish youth teams national coach for now.
He said: "It's not something that I think of now at this moment. Absolutely not.
"Maybe it comes through experience and maybe it's the job security that you are able to focus on the job you are in and see the possibilities.
"I think that's important, that there are possibilities and that you can improve young players through the national team.
"I think that's as rewarding a job as any can be.
"I'm really enjoying my job here. I'm a year-and-a-half into it and I'm getting to grips with it.
"I don't have any thoughts other than trying to get better at doing this job."
Tony Mowbray, Owen Coyle and Mark McGhee are all in the frame to replace Gordon Strachan in the Celtic hotseat and Stark would like to see the new man in place as soon as possible with crucial Champions League qualifiers just weeks away.
He said: "Gordon Strachan had an inauspicious start to his career at Celtic.
"The Champions League qualifier [against Artmedia Bratislava] came around as his first competitive game, which is really a ridiculous situation and gives a manager a ridiculous situation to deal with that he shouldn't have to.
"But it's the way of it, it's the fixture calendar.
"From that point of view, the sooner you have a manager in place, the better to get the right players in and get them in shape to play a vital game so early in the season."