She won the bronze medal in the women's 79 kg event at the 2020 Summer Paralympics held in Tokyo, Japan.

[2][3] A few months later, Muratova won the silver medal in her event at the 2021 World Para Powerlifting Championships held in Tbilisi, Georgia.

[4][5] Muratova finished in 4th place in the women's 67.5 kg event at the 2012 Summer Paralympics held in London, United Kingdom.

In 2014, Muratova won the bronze medal in her event at the IPC Powerlifting World Championships held in Dubai, United Arab Emirates.

At the 2019 World Para Powerlifting Championships held in Nur-Sultan, Kazakhstan, she won the bronze medal in the women's 86 kg event.