Zorkina started to appear at international competitions in 2018, participating in various tournaments and winning medals.[2][3] In November 2020 she was part of the team that represented Belarus at the European Championships in Kyiv, which were postponed because of the COVID-19 pandemic. She competed with ball and clubs.[4] She made it to both apparatus finals, winning bronze with ball behind Polina Karika and Stiliana Nikolova and silver with clubs behind Daria Atamanov and ahead Evelin Viktória Kocsis.[5]
In 2021 Yelyzaveta took part in the 2021 Moscow Grand Prix.[6] In May, she competed at the Irina Deleanu Cup,[7] where she won bronze with ribbon.[8] She won the silver medal in the all-around at the 2021 Belarusian National Championships.[9]
In 2022, she turned senior, but following the Russian invasion of Ukraine in February, gymnasts from Belarus were also forbidden to participate in FIG events.[10] Zorkina, like many other Russian and Belarusian gymnasts, then started attending bilateral tournaments between the two nations, or open competitions[11] such as Crystal Rose (where she was 7th in the all-around)[12] or the UAE International Gymnastika Cup.[13][14]
She announced her retirement from competitive sport in November 2024 through an Instagram post.[15]