Russia

Sazonova made her international debut as a junior, competing at the 2005 WOGA Classic in Texas. She won bronze on vault, and placed fifth in the all-around and floor exercise, sixth on uneven bars, and thirteenth on balance beam. As a senior, she competed at the Russian Championships in 2010, winning team bronze, and placing fifth on floor and thirteenth in the all-around. She was sent to compete at the Cottbus World Cup the following year, but did not make the event finals. Later that year, she competed at the Universiade, winning team bronze, and placing sixth on uneven bars and seventh in the all-around.

Iceland

Sazonova made the move to Iceland in 2014, with her change in nationality and international representation becoming official later that year. Her first international competition representing Iceland was the Voronin Cup in her native Russia, but she did not make the event finals. The following year, she competed at the Northern European Championships, winning uneven bars gold, floor exercise bronze, and placing fourth in the all-around. She also competed at the World Championships in Glasgow, Scotland, but did not make the event finals. At the Voronin Cup at the end of the year, she placed sixth in the all-around and uneven bars and eighth on balance beam.

In April 2016, she competed at the Olympic Test Event. She placed thirty-ninth in the all-around, qualifying as an individual for the Olympics. She later competed at the Nordic Championships, winning team and uneven bars gold, vault silver, and placing fifth in the all-around. In June, she competed at the European Championships in Switzerland, but did not make the event finals.