In 1959 went on tour in Paris with a group of other artists for the 100th anniversary celebration of Sholem Aleichem, a leading author and playwright in Yiddish.
In 1960 he won the All-Union Competition for Best Entertainer in the Soviet Union and started singing in Russian, which was his third language after Yiddish and Ukrainian.
Besides Babajanian, Shainsky, and Petrov, many more composers and songwriters wrote songs for him including Yan Frenkel, Vano Muradeli, Modest Tabachnikov, Eddie Rosner and others.
In 1972, Gorovets and his wife, the actress Margarita Polonskaya (in Russian Маргарита Полонская), his partner and assistant, applied to emigrate to Israel, where they arrived in 1973.
He moved to the United States upon the invitation of New York mayor Edward Koch and a 7-year offer from Der Arbeter Ring.
Gorovets died in 2001 in New York at the age of 79 and was buried in a cemetery in New Jersey alongside his earlier wife Margaret Polonsky.