The former Arsenal and Barcelona midfielder completed a £27 million move to Chelsea this summer, although Scholes thinks he would have been a better fit at Old Trafford.
The reason? A certain Robin van Persie.
Fabregas and the 'Flying Dutchman' played together under Arsene Wenger in north London and former United man Scholes believes that relationship would have flourished under Louis van Gaal.
"Fabregas would have been a great asset for United, not least because of what he might have done playing behind Robin van Persie," the 39-year-old wrote in the London Evening Standard.
"The link-up between those two would have been special. Not that it would have been a problem for Fabregas playing for United without Van Persie in the side. He would have fitted in perfectly with the rest of the players as well.
"By the time Fabregas was in his early 20s, and I was playing against him, I just thought ‘Wow’. What a player he had become.
"He had this great quality - you could just never be sure where he was on the pitch. It was not just that. He had a great ability on the ball. He had a great understanding with Van Persie."
Manchester United will open their Premier League campaign tomorrow against Swansea City.
Last season, United also started their season against the Swans, with Van Persie scoring twice as David Moyes' men won 4-1 against Michael Laudrup's side.
Should Manchester United have signed Fabregas?