Kane, who is valued at over £ 100million, is currently at the Europe championship with England, after scoring three goals to lead them to the semi-finals where they will play Denmark at Wembley on Wednesday.
The 27-year-old has a contract with Spurs until 2024, but British media have said he wants to leave for major trophies and there is no shortage of those interested.
“Keeping him isn’t just my goal, it’s our goal as a club,” Paratici, who joined Tottenham last month, told Sky Sports.
“I can’t wait to see him play live … Right now he’s one of the best strikers in the world. He’s a complete player, really special.
“I haven’t heard from him yet because I don’t want to disturb the players who are busy at the Euro, it doesn’t feel right to me. They are focused on their own goals with their national teams.”
Tottenham finished seventh in the premier league last season under the interim management of Ryan Mason following the sacking of Jose Mourinho. They will welcome champions Manchester city in their opener of the 2021-22 campaign on August 15.
They hired alumni Wolverhampton Wanderers boss Nuno Espirito Santo as new manager.
Spurs president Daniel Levy said last month that if he shared Kane’s frustration with the lack of trophies, he would do what’s right for the club in the transfer market.
“There is a market there. What we want and what someone else wants is not always possible to achieve,” he said. “We will do whatever is right for the club.”