Oldham, without a manager since the departure of John Sheridan on September 25, declined to comment.
Oldham have also spoken to Clarence Seedorf about the manager's job, although the former Netherlands worldwide is now out of the running.
Scholes, who won 11 Premier League titles during his glittering United career, does not have any managerial experience.
In a column for the Independent newspaper at the time, Scholes wrote: "One day I believe that I will manage Oldham, the club that my dad supports and who are very close to my heart. I just did not feel this was the right time".
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Paul Scholes hosted training session for the club's youth team a year ago while working towards his UEFA coaching badges and has never hidden his love for the Latics.
Scholes has been working as a television pundit and co-owns non-league club Salford City with some of his former United team-mates.
It would be a hard situation for a managerial debut with Oldham sitting at 19th in League One, and also considering that current caretaker manager, also an ex-United player in Richie Wellens, has done a solid job thus far.
Oldham are now 19th in League One and have Irish players Paul Green and Eoin Doyle on their books.