Noah is the last man from France to win a Grand Slam singles title and reached a career-best No. 3 in the ATP rankings in 1986. He later was his country's Davis Cup and Billie Jean King Cup captain, leading both teams to championships.
He was inducted into the International Tennis Hall of Fame in 2005.
McEnroe and Borg have been the captains since the first edition of the Laver Cup in 2017 and will lead their teams at this year's edition in Berlin on Sept. 20-22.
The 2025 Laver Cup will be held in San Francisco.