Maddison joined Leicester in the summer from Norwich and has made his mark in the Premier League already.
The 21-year-old has been a bright spark for the club, as their main creative outlet.
He is in the under-21 squad, but he hopes to get a full call up soon.
"I don't want to get too far ahead of myself, I've only played four games in the Premier League," Maddison told Sky Sports.
"It is a dream of mine to play for England, it always has been since I was a very young boy.
"Gareth has obviously done a brilliant job. We've got such a young squad with so much talent, it's a good time to be an England player.
"Hopefully I can keep impressing with my club and the U21s and we'll see where it goes."