She began training in mixed martial arts in 2013 as there was a lack of opportunity in professional women's boxing in Ukraine.
After a 5–0 stint on the regional circuit, Moroz signed with Florida based promotion Xtreme Fighting Championships.
[10] Moroz rebounded from her first career defeat with a decision win over Cristina Stanciu at UFC Fight Night: Rothwell vs. dos Santos on April 10, 2016.
[11] Moroz defeated Danielle Taylor at UFC Fight Night: Rodríguez vs. Caceres via split decision on August 6, 2016.
[15] However, Moyle pulled out of the fight during the week leading up to the event, citing an undisclosed injury, and the bout was cancelled.
[16] Moroz faced former Invicta FC champion Angela Hill on February 24, 2018, at UFC on Fox: Emmett vs.
[20] Moroz faced promotional newcomer Sabina Mazo in her flyweight debut on March 30, 2019, at UFC on ESPN 2.
[27] Moroz was scheduled to face Montana De La Rosa on September 5, 2020, at UFC Fight Night 176.
[28] However, Moroz was forced to withdraw from the event, due to visa issues, and she was replaced by Viviane Araújo.
[34] However, at the end of September, Moroz pulled out of the bout for undisclosed reasons and was replaced by Sijara Eubanks.