"At Chelsea he is not going to be the man," he told Sky Sports.
"He took the number of a Chelsea legend in Frank Lampard, so that is a good start. But can he do what he did? I think he has the quality to do that."
The ex-France international also believes Chelsea boss Antonio Conte will get the best out of him.
"He will find a solution for him whatever solution. I am backing Barkley to do well and I repeat that coach (Conte) will find him the right position."