I do wonder who Bayern will pick next up for their manager position. Klopp insists that he will retire, but I honestly think that if Bayern comes up with a huge amount, which Bayern can definitely afford to do, then maybe Klopp will agree? I mean this is Bayern we are talking about, and Klopp is German I believe? Or at least we know he was at German clubs before Liverpool, Mainz and Dortmund, so it could be very possible for him to manage at Bayern and feel natural for that league.
Klopp is surely a a German professional coach. You can see his citizenship, it is very clear Germany.
As far as I know, he doesn't plan to retire very soon. He only wants to take a break for a moment after he is leaving Liverpool at the end of the season. However, it is his plan, it can be changed or he suddenly considers to manage a club again. Bayern Munich can try to negotiate with him, Klopp may consider it if Bayern Munich makes an interesting offer. Whatever the result, Bayern Munich can try first at least!
Yes, Klopp is one of successful managers (coach) in German league. Klopp ever won trophies with Dortmund. He understands well German league, so it won't be so difficult for him to adapt with German league again. I even believe he will succeed if he manages Bayern Munich because Bayern Munich actually has a proper squad to be the champion in Bundesliga, DFB Pokal, or UCL. Bayern Munich only needs a manager (coach) who can understand what tactics that can be effective for the whole players.
By the way, I'm sure Bayern Munich still prioritizes to negotiate with Xabi Alonso. They are very interested to make Xabi as the manager for the next season.
Take a look:
https://www.transfermarkt.com/jurgen-klopp/profil/trainer/118