Conte wants Kane to stay at Tottenham Hotspur. Conte demands that he wants Kane for the next season and he will join Spurs only if he stays. Kane has said in an interview that he wants to win trophies and that is why he is contemplating a move to a new club. But he would like to be in the premier league as he is more settled here. Hence he wants to leave Spurs even though he has had so many individual achievements with them.
Kane says that a trophy marks that you have had a great season on the pitch. He has some interests from Man City who do need a striker as Aguero has left them. Man United and Chelsea are also linked. But City are leading the chase at the moment. Now Spurs have to find a manager for the next season. They wanted Nagelsman but he would be joining Bayern. They have had talks with Pochettino for a return and Rodgers too. But they both will not leave their current clubs.
Conte wants Kane to stay at Spurs and then he will take the job
Spurs do need a trophy and they are trying their best to sign Conte who has just won the Scudetto with Inter. So now Spurs will have to work on a way to make Kane stay. Conte will put pressure on board and he will have demands which Daniel Levy will have to agree on if he wishes to sign him. Also, he will bring the back 3 system with him which the Spurs players will have to adjust to. So he needs a good no. 9 who can finish the chances created by the team. He is not much different from Mourinho though as he will implement the counter-attacking style.
It remains to be seen whether Kane decides to stay or not.