The 30-year-old, who was the third-choice keeper for the Three Lions at Euro2016, recently heard from Allardyce after the former Sunderland manager sent emails to all England players and is keen to put his best foot forward in the Premier League so he stays in the vision of Allardyce.
"I just had a brief email to say hello and introduce himself," Heaton told Sky Sports.
"I'm sure he's got an awful lot on but that arrived on Tuesday, which was fantastic. It was just a general email.
"There's nothing really that you do about it [replying]. My focus is just on getting myself right and seeing where it takes me.
"Having had a taste of it I certainly want more. I have a hunger to step on, get more caps, keep involved. I'll be putting the work in to do that.
"With a new manager coming in you never know what his thoughts are but all I can really do is get my performance right and see where it takes me."
Allardyce will begin his spell with a 2018 World Cup qualifier in Slovakia on September 4.