Giggs was placed in the role of interim manager after the sacking of David Moyes in April, and the 40-year-old was tasked with a damage limitation job after a harrowing campaign under the Scot.
The Welshman took charge of United's final four games and registered two wins, a draw and a 1-0 defeat to Sunderland, but in truth, the damage was already done as they slipped to their lowest-ever Premier League finish of seventh.
Louis van Gaal's appointment in the summer saw Giggs announce his retirement, and he was immediately installed as the Dutchman's assistant.
Scholes feels that Giggs's current role is an ideal way for him to learn more about the job in a hands-on environment, and the former England international believes that his old friend will one day take over the Old Trafford hotseat on a permanent basis.
The Daily Mail quotes Scholes as saying: "Ryan was great and I am sure he is being groomed to be the manager in the next few years.
"We would like to have won four games and maybe Ryan would have had a better chance to get the job full-time. It was great working with him and being with Nicky Butt and Phil Neville."
Seven points from 12 were not enough to convince the club's owners that Giggs was the man to take the team forward, but he earned praise in some quarters for his willingness to give members of the youth academy a chance in the final few weeks of last season.
Giggs gave James Wilson a run-out against Hull City on May 6, and the teenage striker repaid his faith with two goals in a 3-1 win.
The position Giggs currently holds is an important one - the Premier League's most decorated player is seen by the club's supporters as the symbol that still ties them to the Sir Alex Ferguson era, but he also has a vital role in helping Van Gaal become accustomed to the United way of operating on all levels.
The Red Devils begin their Premier League campaign against Swansea City on August 16, and they conclude their pre-season preparations against Valencia on Tuesday.