Scholes has questioned whether Murtough is up to the job, having been promoted from within.
He said, “If you talk about the football side, the director of football. There's a lot of talk about United looking for one. Have they got the best of the best director of football.
"Somehow they've invited him a role of football director. What is that? Tell me what is that? Is he going to be signing players? Is he going to be ordering new footballs for us? What is he?
"If United are going for a director of football get the very best out there. If you're going for a manger go for the very best out there.
"And they probably haven't got the very best out there now as a football manager but he's on the way to producing a team that could make him the best manager.
"Give these people time and get the best of the best, whether it's football director, director of football, technical director.
"And players. It should be the very best of the best."