Ramsey was appointed the QPR manager earlier this season when Harry Redknapp stepped down due to his knee problems.
The 53-year-old will remain the Rangers boss until the end of the 2015-15 campaign, and no new deal is in place for him to carry on in his current position next season.
Former United midfielder Scholes believes that QPR chairman Tony Fernandes should hire someone new to manage the team next season.
“It was a difficult situation for the manager, Chris Ramsey, to come into and he has not been able to turn around the squad,” the 40-year-old wrote in The Independent. “I don’t think he is an obvious choice to carry on in charge of the team.
“When a team is relegated, a new leader can help turn the page at a club. QPR need that fresh start.”
Scholes does have a point, and Ramsey has not really done much of note over the past few months to help his cause.
However, the former Brighton & Hove Albion defender was always going to find it tough, especially as he inherited a squad that was under-performing.
Ramsey did give his best, but the question is whether the Englishman can be trusted with the task of getting QPR back up to the Premier League rightaway.
The Championship is a hugely competitive league, and Rangers need someone who knows it inside out and who has managed in the division before.