Manchester United and neighbors City are seen as favorites to land Kane after he signaled his desire to leave Spurs in search of silverware and Champions League football.
Kane had a calm game in England’s Euro 2020 opener against Croatia, which Gareth Southgate’s side won 1-0 thanks to Raheem Sterling’s strike.
And the captain was later asked if transfer speculation affected him ahead of the tournament final.
In response, Kane insisted he was focusing on bidding for the Three Lions glory and said his future would be settled after the Euro.
“It went well,” Kane told BBC Sport. “I’m sure I will be asked a lot of questions about this, but my most important thing is to try to win a major tournament with England.
“The rest of things will obviously happen when I get back from the tournament, but right now that’s all I’m focusing on.
“I’m not someone who listens to noise anyway, whether it’s good or bad to be honest.
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“I try to never go too high or too low. I am here to give my all for my country.
Kane also responded to fans’ concerns about England’s tactics, having spent much of the first half isolated from the action before recording his only shot on goal of the game midway through the second period .
“The manager is doing his job and the fans are debating, it’s part of football,” said the forward.
“Everyone has their own opinion on who should play. It won’t be the same 11 every game. Falling deep has always been part of my game, allowing others to run behind. “
Kane was transported with just under 10 minutes to go, with 17-year-old Jude Bellingham stepping in in his place.
Erling Haaland is another big-name striker on United and City’s radar this summer.
United have extended Edinson Cavani’s stay at the club for another 12 months and are also interested in Kane’s English teammate Jadon Sancho.