The England captain pushed to leave Spurs last summer but is far more settled this year as he embraces life under the Italian coach, who guided the club to Champions League qualification last season.
Kane said: "The plan for me is to head back around July 8 and head to Korea with the boys (for Tottenham's pre-season tour) and look forward to another season.
"I got on really well with Antonio in the time that he was there and I am looking forward to next season."
The forward revealed that he is looking forward to a short break following a demanding campaign with both club and country.
He said: "I think the most important time for me is recharging the batteries, spending some quality time with the family, and of course playing a bit of golf as well.
"I'm always one to keep on top of my fitness in the gym - I don't think you can lose too much fitness in three weeks anyway."
Kane will have new rivals in the Premier League Golden Boot battle next season in the form of Erling Haaland and Darwin Nunez - who have signed for Manchester City and Liverpool respectively - but the player is welcoming the competition.
He said: "The battle for the Golden Boot is always tough, the Premier League has produced some top strikers around the world for a number of years now. Every season I've been playing it's always been a tough battle.
"You expect the top strikers to want to play in the Premier League and with those two new signings it's going to be the case. It helps me as a player to have good competition, it drives me to improve and get better so, for sure, I'm looking forward to the challenge."