In 1940 Nogrady took part in the United States. Pro Tennis Championships for the first time. The tournament was held in September at the Chicago Town and Tennis Club and Nogrady reached the semifinal after victories over Richards and Karel Koželuh. In the semifinal he lost in four sets to Fred Perry.
He lost again to Perry, this time in straight sets, in the quarterfinal of the 1941 edition and to Budge in the quarterfinal of the 1942 tournament.
He reached the final of the United States. Pro Tennis Championships in 1943 and 1944. In 1943 he lost the final to Bruce Barnes in five sets and in 1944 Welby Van Horn defeated him in straight sets.
After his active playing career had ended Nogrady became a tennis coach for, among others, Bill Talbert, Ron Holmberg and Dick Savitt. Additionally he often trained celebrities including Grace Kelly and Errol Flynn.
Nogrady was inducted into the Eastern Lawn Tennis Association Hall of Fame in 1993.
He died in New York on May 21, 2007 at the age 93. Pro Slam tournaments
= Singles: 2 (0 titles, 2 runners-up) =.