Gray is an 18-time England Under-21 international, but is yet to represent his nation's senior side.
"I can't put a timescale on it but me personally, as soon as possible," Gray told Sky Sports News.
"I've already said I believe in my ability and once I stabilise myself in the team, playing week in week out and adding to my game and contributing in games, there's no reason why I can't get a call-up.
"Knowing the manager and having worked with him before, I know what he's like and I'm pretty confident as long as I keep my feet on the ground and working hard I'll get my opportunity."
Gray scored three times and registered two assists in 35 Premier League appearances for Leicester last term.