The German is leaving his post at the Anfield club and will head for a sabbatical from the game.
There were rumors that Klopp would be in line for the German national team job after Euro 2024.
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Asked if he wanted to coach in Italy, he stated: "The only Italian thing I know is Italian food. At this moment I don't plan a further career as a manager.
Ask me in a year's time, but now I don't plan anything."
His comments would suggest that any imminent job change does not appear to be on the cards.