Speaking to 'BT Sports', Scholes said: "I still believe he could be the best in the world and in the summer he could go to Tottenham or somewhere and he could improve.
"I think sometimes, managers get in their head that there's a player not for them. For me, I think he could be brilliant but his manager will still find something wrong with him.
"It is disappointing because when Luke Shaw came you thought what a player that is and he could be the best.
"It's a relationship that come the summer will end. It keeps going on and on but he isn't playing games."
Shaw has been at Manchester United for four years and has only made 62 appearances in that time, although he did spend almost a year on the sidelines with a broken leg.