The former Germany international believes the Borussia Dortmund boss crossed the line with his recent comments about Bayern Munich director Matthias Sammer
Klopp recently stated that Bayern's sporting director does not contribute anything to the reigning Bundesliga champions and should consider himself fortunate to be in the job after Sammer had previously criticised other Bundesliga sides' workrate.
Kahn has admitted that Sammer should not have commented on other clubs' training regimes, but believes that Klopp crossed the line with his reaction.
"The war of words between Matthias Sammer and Jurgen Klopp has been the main talking point in Germany in the past few days," Kahn wrote in his column for Bild.
"Sammer perhaps should not have made those comments, but we cannot discard Klopp's comments that easily.
"His remark that Sammer does not contribute anything to Bayern was disrespectful and shameless.
"And on top of all that, he is actually wrong, too. It is not a coincidence that Bayern's recent dominance started with the arrival of Sammer in 2012. He is perfectly suited for Bayern."