The 37-year-old English midfielder joined PSG on a free transfer in January on a contract that will run out in the summer.
"Everyone was excited when they knew he was coming because he had a fantastic rep as a pro and a man and great quality on the field still," Clement told beIN Sport.
"He's been a breath of fresh air here. He gets on with everyone, first out to training, last one back in, real enthusiasm for the game. You know after 20 years of playing at the top level, he still loves his football and hopefully he'll be able to continue for a little bit longer.
"The club have made it clear that they'd like him to stay on, but he's made it clear that's he's going to have a think about it at the end of the season, talk to his family, see how his body feels. If he feels fresh I'm sure he'll continue."
PSG are currently nine points clear at the top of Ligue 1 with four rounds of matches left to play this season.