The League One club declined to comment on reports linking Scholes with the vacancy created when John Sheridan was sacked last month.
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.
The Manchester United legend, a fan of the League One club, was spoken to at an undisclosed location in the town yesterday. Scholes is a part-owner of Salford City and he was briefly caretaker manager of the club in 2015. "I just did not feel this was the right time".
Corney and Scholes remain in regular contact and Scholes has held training sessions with the club's youth teams in the past as he undertakes his Uefa coaching badges.
Scholes, 42, retired from playing in 2013 after spending all his professional career at Manchester United where he won numerous trophies.
The Latics are now 19th in the table but have won their last two league games, including their 2-1 victory at Portsmouth last time out.
Oldham are now under the stewardship of interim boss Richie Wellens, who has been credited with showing interest in taking charge of the club on a permanent basis.