Latics, who are now 19th in the League One table, have been in search of a new manager since John Sheridan left in September.
Oldham, who have also interviewed former Dutch midfielder Clarence Seedorf for the job, have declined to comment on whether Scholes is in the frame.
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.
Scholes won 11 Premier League titles, three FA Cups, two League Cups, five Community Shields and two Champions Leagues. Scholes is a part-owner of Salford City and he was briefly caretaker manager of the club in 2015.
Scholes has been linked with the Latics before, only for nothing to materialise, while he worked with the club's youth team in order to gain his UEFA A Licence.
At United the 42-year-old was a reserve -team coach under Sir Alex Ferguson before he came out of retirement in January 2012 to resume his playing career.
Sportsmail understands the Manchester United legend, a fan of the League One club, was spoken to at an undisclosed location in the town this morning.