The 21-year-old is enjoying a breakthrough for club and country, making 42 appearances for Monaco last season and earning five caps for France.
Tchouameni started alongside Pogba in the Nations League final victory over Spain on Sunday, and Pogba says he "always" wants to play "by his side".
Asked about his France team-mate following the Nations League win, Pogba told RTL: "Very, very good. He's not a boy, he's a man.
"It's a pleasure to play next to him. He brings a lot of energy. A lot of energy, extraordinary technical and physical quality.
"We wish him to play a lot more games and that I am always by his side."
Need a VPN? Or seeking to switch? Then support Tribal Football by clicking here to sign up with our official partners NordVPN. Not only will you receive the best VPN experience, but also great discounts by signing up via Tribal Football. Thanks for your support!