Bale has been heavily linked with a return to the Premier League after coming in for criticism from fans and press alike in Madrid in recent weeks.
Reports yesterday suggested that the Welsh winger was determined to remain at Real and win over his detractors.
But Scholes remains hopeful he can be lured to Old Trafford and turn the Red Devils into title contenders again.
"My feeling is that he would be perfect for Manchester United", Scholes wrote in his column for the Evening Standard.
GETTY
Gareth Bale has been linked with a return to England
My feeling is that he would be perfect for Manchester United
Paul Scholes
"Of course, as a fan of my former club I would like to see him there but, looking at it objectively, I always felt that Bale was a natural fit for United as he developed at Tottenham from a left-back into one of the best attacking footballers in the country.
"He would be loved at Old Trafford. In return I believe he could turn Louis van Gaal's team into serious title contenders next season. In my years at United I witnessed some signings who, over their careers, transformed the fortunes of the team.
"From Eric Cantona when I was an apprentice, to Dwight Yorke, Ruud van Nistelrooy and Wayne Rooney. These were great footballers who became great United players. Bale has the potential to make as much of an impact as any of them."
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