Speculation in the Italian media had suggested that Stam was speaking to United's new investors INEOS.
While there may be some interest in bringing back the defender as a coach or consultant, Stam denied those rumors.
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This week, he told the Daily Mail: "We're not in talks... I haven't heard anything about it."
The 51-year-old did work at United as a scout shortly after his retirement from the sport.
However, he has since gone to become a manager at many clubs around the world.