In an interview with Marc Stein of the New York Times, Green praised Barkley for being "an amazing person" and television talent.
"Chuck has been in the TV business for 20 years," the Golden State Warriors forward said. "Any time someone is in one particular business for that long, they're usually pretty good - and Chuck is really good.
"I think when we're out there, there's usually several differences of opinion, and that's fine. Our opinions don't always have to align. He's an amazing person and he's an amazing talent when it comes to TV. I respect him."
Green has been a guest analyst for TNT during the NBA restart and recently hosted the series "The Arena" alongside Barkley.