The 18 year old scored the opening goal against Olympiakos on Wednesday night.
Rice who managed Arsenal for the match, said: “From Arsenal supporters’ point of view, they are going to be seeing a lot of this boy.
“I know that Theo is a very strong-willed guy as well and he won’t give in easy.
“Alex can go inside, he can go outside, he’s got that injection of pace and I think what he needs now is to be consistent in his play.
“I am sure that is something he will be working on because he’s certainly not a stupid boy.
“He has good people around him and they are telling him all the right things.”