Linked with the Reds, Berge impressed in Genk's Champions League defeat at Anfleid last week.
Oxlade-Chamberlain told VG: "I played against him in two games. I tried to run past him a couple of times, but I underestimated him, because he's not slow. He's not slow!
"I thought I was going to be able to run past him easier than I did, so he got a good handle on me and showed that he was there. I like him. He is a good player.
"He made a good tackle (on me). I still have a sore ankle, so thanks for that!
"How old is he? Yes, I think he is a really good player.
"He was calm with the ball. There was a time when he broke through our defence and tried to hit a post, but I thought he was going to shoot and break our hearts. He seems like a very good player, and if he is only 21, he has a great future ahead of him."