Henman noted 17-year-old French player Kouame, who won two rounds at Roland Garros, as "someone to look out for."
"His age right now, there's so many talented players out there, but he's 17 years of age and to see his physicality, incredible athlete," Henman said.
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Kouame became the first player born after 2008 to secure a Grand Slam match victory by defeating veteran Marin Cilic.
Henman also praised Kouame's personality, saying, "He's also got that personality, it seems that he loves the big stage, the way that he was orchestrating a crowd on Suzanne Lenglen's court...
was hugely impressive."
Other prospects include Czech Jakub Mensik, American lefty Learner Tien, and Brazilian teenager Joao Fonseca.
Mensik, 20, made the semifinals at Roland Garros and is ranked 18th in the world. Henman described him as "a huge talent, a massive ball striker."
Of Tien, Henman said, "He's a lefty, a little bit smaller, doesn't quite have the physicality but he's amazingly talented at changing direction, he's got a great tennis IQ."
Fonseca, 19, defeated Novak Djokovic at Roland Garros after coming back from two sets down.
He advanced to the third round at Wimbledon, while Mensik and Tien lost to Grigor Dimitrov and Marton Fucsovics respectively.
"He's got a huge future and a massive following of Brazilian fans," Henman said of Fonseca.
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Meanwhile, Jannik Sinner and Novak Djokovic remain active in the tournament, having advanced to the third round after victories over Nuno Borges, Wu Yibing, and Stefanos Tsitsipas.
