The 21-year-old Tottenham Hotspur striker scored his second goal of the season as Kane helped fire Spurs into the Europa League group stage thanks to a 3-0 victory over Limassol on Thursday night.
Kane is eligible to represent Ireland through his Galway-born father and could prove a long-term replacement for his former Tottenham team-mate Robbie Keane, who is in the twilight years of his international career.
However, the Chingford-born forward, who was named in England’s Under-21 side on Thursday, doesn’t envisage swapping white for green any time soon, underlining his desire to be part of Roy Hodgson’s plans.
“There’s no decision there. I’m playing for England Under-21s and want to break into the senior squad,” Kane added.
“But I’m focused on my club at the minute and we’ve got another big game on Sunday. Hopefully it goes our way and I get a couple more goals.”
Kane’s Spurs team-mate Danny Rose received his first England call-up on Thursday alongside Calum Chambers, Fabian Delph and Jack Colback as Hodgson ushers in a new era for the national side.
And Kane, who scored three goals in 10 Premier League appearances last season, is relaxed about his own England future, insisting he has more work to do before earning a place in Hodgson’s senior squad.
“It shows if you’re playing well, the manager will pick you. Danny’s been playing great this season and last season, so it’s great to see him get called up,” Kane added.
“Andros got in there last season and is in there again. It shows that if you’re doing the right things, the boss will be watching and you never know.”
MORE: Man United latest news
MORE: Arsenal latest news
MORE: Chelsea latest news
MORE: Liverpool latest news