The 31-year-old looked at home on the red carpet as he posed for a picture with Clarke – who plays Daenerys Targaryen on the hit fantasy TV show.
While he also took a photo with Academy Award winner Rami Malek and TV host Jimmy Fallon.
But it was the snap with Clarke that left Klopp feeling envious, as he joked he wished he had met the Mother of Dragons.
Speaking ahead of tomorrow’s clash against Huddersfield, Klopp said: “Travelling these days is no problem anymore.
“It would be more problem if his car broke and he had to walk from here! He missed one session. Today he is in training and everything is fine again.
“I saw a few pictures and he looked brilliant in his tuxedo. Wow. He met a lot of famous people. Mrs Targaryen, eh? She was there as well.
“If he’d have asked me maybe I would have joined him! It was very interesting and now he’s back, it’s all fine.”
Before adding: “I’m very proud, because people in football, we are obviously on television, in newspapers a lot, and most of the time we don’t say very smart things.
“In the world at the moment, it is very important that you have people like Mo. It should not be his first job, obviously, but it’s important that he has an opinion and that he makes his opinion public.
“I was completely fine, we always say football is not the most important thing in the world, but when you can prove it you have to be there.”
