Scholes, who played for United in two spells for 20 years, only had Sir Alex Ferguson as his manager at club level before he retired in 2013.
However, the ex-England star said that he would have enjoyed being coached by the Portuguese.
"Mourinho is the man I would have wanted to play for," he told the Daily Mail.
"The way he comes across, he is a confident man and someone to look up to. He's probably a little bit funny to listen to for the players.
"He is a great manager and has managed some great clubs."
Scholes won 11 Premier League titles and two Champions Leagues during his time at Old Trafford.