Klopp was addressing the media at his introduction as Red Bull's new head of global soccer, a position that will see him leading the energy drinks company's football operations worldwide.
The German is starting out in the position having left Liverpool at the end of last season, after close to nine years as the club's manager.
Red Bull controls clubs in several countries around the world, including RB Leipzig in Klopp's native Germany, while it recently acquired a minority stake in French second-tier side Paris FC.
Liverpool, meanwhile, have enjoyed a seamless transition to life without Klopp, as they sit six points clear at the top of the Premier League and top of the Champions League standings under his successor Arne Slot.
Klopp reiterated that he felt it was the right time to step down at Anfield and said he did not miss the daily grind of club management.
"I am more than happy not to be there," he said.
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"It is really great that they are doing so well, I wish them all the best. I watch as many games as I can.
"It is great football. Even if you don't support Liverpool right now you had better watch them because it is really top football, maybe the best balanced in the world right now."
The former Borussia Dortmund coach added that he hoped Salah's fellow stars Virgil van Dijk and Trent Alexander-Arnold would also choose to extend their contracts, which expire at the end of the season too.
"I am so happy I am not in charge in that situation, having to answer these questions," he sighed.
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"From my point of view I would love all three of them to extend their contracts but I don't know, they didn't tell me."
Asked if he could try to sign any of them for the Red Bull empire, which includes New York Red Bulls in Major League Soccer, he responded with a touch of irony:
"Oh yeah. Virgil I am sure would love to have five more years at Liverpool and then play from 41 to 44 for New York Red Bulls because he probably underestimates US football.
"Mo, yes I would love to, but I don't think we have a chance to pay him to be honest.
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"I am just really happy I am no longer a part of it."
(This story has not been edited by staff and is auto-generated from a syndicated feed.)