Former Manchester United midfielder says it was sad to see striker Danny Welbeck leave to join rivals Arsenal.
The 23-year-old joined the Gunners for a reported fee of £16m and leaves the Red Devils after scoring 29 goals in 142 appearances.
"Naturally, I was sad, as a United fan, to see Welbeck leave this week," Scholes told The Independent.
"My feeling was that if he could have got through this transfer window and stayed at the club he could have been a part of United's future over the next few years.
"It shows how highly regarded Danny is that a club as big as Arsenal signed him.
"He will be a good signing for Arsene Wenger. Danny will never be a 20-25 goals-a-season man but he could get Arsenal 10 to 15."
Days before the end of the summer transfer window, Manchester United added Colombia striker Falcao to their squad, an important element for Louis van Gaal's project.
The 28-year-old is one of the most prolific strikers in the game and can certainly help Manchester United finish in the top four according to Scholes.
"When I watched Radamel Falcao play for Porto, Atletico Madrid and Monaco I saw a striker with excellent movement and a goalscoring record that is simply out of this world," added the Englishman.
"At United, on loan for this season initially, Falcao creates competition in United's forward line.
"There is no way that Louis van Gaal can play Rooney, Robin van Persie and Falcao together.
"It will have to be two from three and which two it is hard to say as yet.
"I don't think the league title is realistic but Champions League football is the aim.
"Now it is over to Van Gaal to shape the team."
