Bayern Munich are very interested in signing Harry Kane and Nigel Klinsmann is very keen of having Kane play for his side. The only and major issue is that he's very expensive and Bayern doesnt generally splurge that kind of money unless absolutely necessary. He still hopes maybe in the future, there might be a chance to sign Kane.
Harry Kane is not for sale for now. He doesn't have any reason to leave Tottenham Hotspur because they would be competing in the UEFA Champions league this season. Tottenham have been very active in the transfer marketing signing more players to reinforce and make the team fit for next season's competitions. They also have a young and talented coach that respects Kane. The fans see Kane as a legend because of his consistency and quality. Bayern Munich is a great club but they might be able to snatch Kane from Tottenham next season if the later club fail to win a trophy or qualify for the Champions league.
He should be gunning for Alan Shearer's goals record for the next couple of seasons, but Spurs not winning trophies in about a decade should be a reason for him to venture somewhere else. Man City would have been a popular destination but they've just got Haaland and I don't think they'd be interested anymore. At the end of the day, once his prime passes, people who havent witnessed his greatness will only talk with respect to numbers. How many Goals he scored, how many trophies has he won etc. The Goals part is covered but the trophies?