The former Liverpool manager, now Red Bull's global football director, has been linked with a return to Anfield. While he has also been mentioned as a potential replacement for Xabi Alonso at Real Madrid.
However, Mintzlaff says any interest in Klopp will be his business to deal with.
“Jurgen Klopp feels completely at home with us and has already learned a tremendous amount here,” he told Die Welt. “There's no release clause in his contract, and he's clearly committed to us.
“He has no intention of looking for anything else. If something were to come along, we'd have to deal with it. But there are absolutely no indications of that.
“If the DFB were to approach Jurgen, I would ask Bernd Neuendorf (DFB President) why he no longer wants such an outstanding national coach (Julian Nagelsmann)."
Asked about Klopp’s role with Red Bull, Mintzlaff went on: “He played a major role in Leipzig's resurgence. He helped the team tremendously to take the next steps and struck an excellent balance between providing support on the ground and giving the clubs room to breathe.
“Many were worried that he would overshadow everything here. But the truth is: everyone benefits from his input, but ultimately makes their own decisions. Jurgen Klopp was our marquee signing, coming on a free transfer. When he talks to young players we'd like to sign, it's a game-changer.
“Jurgen Klopp is immensely credible when he explains why a move to Leipzig, New York, or our club in Brazil is the best step. And the public doesn't see much of his work. He regularly exchanges ideas with the club coaches. Developments and questions are discussed – and always presented as suggestions.
“The decisions are made by Ole Werner and his colleagues at the clubs. But Jurgen also ensures that we remain true to our style of play. 'Intensity is our identity’ is his slogan. That's how we want to play on the pitch. He instills this style of play with clear consistency and conviction – and he continues to develop it.”