The Japan international caught the eye on his Premier League debut at Everton last night.
"He will be a great success, this is no doubt. I think he was born with a ball at his feet. He always has the ball and is always in the play and being creative," Lindegaard told Ekstra Bladet.
"He is really good, I think.
"He is probably too attacking to be Scholes' heir, but I believe that he will be a great success for United."