The Manchester United midfielder believes that his country require more continuity if they are to achieve their goals.
"A new manager taking over as soon as possible is always ideal," said Fletcher. "But if it means taking a bit more time to get the right choice looking at it long term, then take as much time as they need.
"Maybe there are a lot of candidates and for whatever reason it takes time.
"The most important thing is getting the right man who can provide a bit of continuity and take Scotland forward - not just for the next couple of years, but hopefully five or six years and really stamp his authority and take the country places where we want to go."