Heaton has appeared twice as a substitute for his country and kept 10 clean sheets in the Premier League this season to help guarantee Burnley's survival.
"It is about playing Premier League football and continuing to work at the international set-up," Heaton said.
"I'm delighted to be involved in that and have a taste for it - and now I've got a hunger for more.
"I want to continue improving every day and I'm more than happy where I am at the moment."
Heaton's England colleague Michael Keane has also been linked with a move away from Burnley at the end of the season, but the goalkeeper believes the club can absorb the loss of talent.
"It is the nature of the beast, especially at this level, that when players do well they will get talked about," said Heaton.
"Our biggest strength is our team ethic and our unity. Whatever happens we will deal with it and we'll keep moving forward."