Representing the Soviet Union with Andrei Vitman, she placed 5th at the 1977 World Championships and won two medals at Skate Canada International.

Her final assignment toward receiving her choreography degree at the National Theatre Institute in Moscow in 1982 was the creation of a routine for Ekaterina Gordeeva and Sergei Grinkov.

Throughout the 1980s, she continued to choreograph for this elite pair, creating their programs to Moonlight Sonata, Vocalise, and Romeo and Juliet.

[6] Zoueva has coached the following skaters: Her choreography clients have included Sasha Cohen, Marin Honda, Takahiko Kozuka, Yukari Nakano, Alissa Czisny, John Coughlin, and Yulia Lipnitskaya.

[17] She is the mother of Fedor Andreev – born 2 March 1982 in Moscow – who competed for Canada as a singles skater and Russia as an ice dancer.