It seems to me that even the first half of Georgia’s game against Spain is enough to understand that Kvartskhelia deserves better than Napoli (a club without the Champions League next season). I don’t know which clubs his future may be connected with, but purely visually he suits Liverpool very well, a fast, energetic player. Judging by Kvaratskhelia’s own comment, he already has options other than Napoli.
It is a great judgement.

I also believe Kvaratskhelia's play style would fit Liverpool a lot. I'm just curious about one thing in a situation that Liverpool decides to sign him.
He is a left-winger mainly but can play on the other wing and as AM too. I wouldn't use him in a position other than the wings though. Anyway my point is he can use both of his feet effectively. He has been used as a left-winger the most so far. However let's say Salah left then he can be Liverpool's future in Salah's position.
Or he would still be used in the same position but there are so many players accumulated there like Diaz, Gakpo and Jota. Let's say Diaz leaves this summer and Jota is used as CF then it would be easier to handle the players on the left wing.
