They would not want Harry Kane if only Sadio Mane could show the best game he has, but Mane was unable to show his best game last season so Bayern Munich began to shake and look for players they thought would provide the best in their squad. Harry Kane's name also emerged and was considered to fit what Byern Munich needed. I think the change of coach is one of the factors why they are looking at other players, because it is likely that Thomas Tuchel does not really see Mane in the game scheme he will play. But it will be very difficult to convince Tottenham to release the player.
A intriguing situation is the deadlock between Tottenham Hotspur and possible bidders over Harry Kane move. Tottenham stands to gain financially if any team is willing to pay the high price demanded by them for their star striker. The team nonetheless gains if no offers come through because they are able to keep their star player for the following difficult season. Bayern Munich on the other hand are interested in Kane because they need to find a good successor for Lewandowski and think Kane is their best choice. The mystery and ambiguity surrounding Kane future are prolonged by Tottenham refusal to accept offers despite the fact that Thomas Tuchel is also looking for an attacker similar to Lewandowski.