Scholes decided to retire at the end of last season. United has long been linked with a number of midfielder that could fill the void that Scholes has left.
But Anderson believes the current United squad is strong enough to cope without Scholes.
He told Sky Sports News: “Scholes was one player where I learn a lot, he was unbelievable and for me the best midfielder in the world.
“Scholes was amazing, a legend, but it means more opportunity, more space for me.
“I think Scholes was very important for the team as he had amazing quality, but I think everyone together can take his position.”