The 26-year-old has featured for the Three Lions from Under-16 to Under-21 level, but he has never received a call-up to the senior side.
Having insisted that he is currently "playing the best football" of his career, Noble admitted that he would like to capture Roy Hodgson's attention.
"I think I'm playing the best football of my career right now as far as my all round game is concerned - winning back the ball, starting us off to play," the London Evening Standard quotes Noble as saying. "To be picked for my country is my ultimate goal, as it should be with any English player.
"The subject has come up a few times before and people have said when an international squad is about to be announced, 'you've definitely got a chance' but it hasn't happened. All I can do, though, is go out there every week and in training and try my hardest. Hopefully, it will happen for me one day.
"Roy Hodgson hasn't spoken to me but I will carry on enjoying what I do, working hard for the team and all being well one day I will get my chance."