At the start of this year, Scholes took youth training sessions at Oldham as part of work towards his UEFA A coaching licence.
Oldham, without a manager since the departure of John Sheridan on September 25, declined to comment.
Sheridan left Oldham at the foot of the table but they have risen to 19th under the temporary management of Richie Wellens, their former midfielder, who wants the permanent job.
Clarence Seedorf has also been linked with taking charge of Oldham, with the ex-Dutch star later distancing himself from the job.
The Manchester United legend, a fan of the League One club, was spoken to at an undisclosed location in the town yesterday.
He won 11 Premier League titles at Old Trafford and was capped 66 times by England before announcing his retirement in 2004.
According to several media reports, the League One outfit is keen to make Scholes their manager, although no official confirmation has come from the club.
Since calling time on a United career comprising 717 appearances and 155 goals, Scholes has worked as a television pundit and along with Ryan Giggs, Gary Neville, Phil Neville and Nicky Butt, owns a stake in non-league side Salford City.
Paul Scholes hosted training session for the club's youth team previous year while working towards his UEFA coaching badges and has never hidden his love for the Latics.