All Tennis Players How Many Grand Slams Has Henri Cochet Won? Henri Jean Cochet (14 December 1901 – 1 April 1987) was a French tennis player.Henri Cochet has won 7 Grand Slams. FacebookTwitterEmail How Many Grand Slams Has Madison Keys Won? How Many Grand Slams Has Jannik Sinner Won? How Many Majors Has John Isner Won?