She won the silver all-around medal at the 2008 Kyiv Junior World Cup behind Russian gymnast Daria Dmitrieva.

At the second World Cup in Lisbon, Portugal, Rizatdinova won the bronze medal in All-around behind Russians Margarita Mamun and Alexandra Merkulova.

Hanna won her second World Cup All-around gold in 2013 Corbeil-Essonnes beating gymnasts Melitina Staniouta of Belarus and Margarita Mamun of Russia.

Rizatdinova then competed at the 2013 European Championships in Vienna, Austria and (together with her teammates Alina Maksymenko and Viktoria Mazur) won the Team silver medal.

Rizatdinova competed at the 2013 World Games in Cali where she won gold in hoop and silver medals in ball, clubs.

[13] In 2014 Season, Rizatdinova began competing at the 2014 LA Lights and won the all-around silver medal behind Melitina Staniouta.

She finished 5th in all-around at the 2014 Thiais Grand Prix, won silver in ball, bronze in clubs, hoop and gold in ribbon (tied with Melitina Staniouta of Belarus).

Rizatdinova won the All-around silver medal behind Russian debutante Aleksandra Soldatova at the 2014 Debrecen World Cup after missing a ball routine element and dropping the apparatus.

[14] She finished 5th in All-around at the 2014 Stuttgart World Cup, qualifying to 4 event finals: she won bronze in ball (tied with Mamun), placed 4th in hoop, 7th in clubs and 8th in ribbon.

[15] On 22–28 September Rizatdinova (along with teammates Viktoria Mazur and Eleonora Romanova) represented Ukraine at the 2014 World Championships where they took the Team bronze with a total of 135.515 points.

On 10–12 April Rizatdinova placed 4th in all-around at the 2015 Pesaro World Cup, she qualified to 4 event finals taking silver in ribbon, bronze in clubs and finishing 4th in hoop, ball.

Her next competition was at the 2015 Summer Universiade in Gwangju, Korea were Rizatdinova won the all-around silver medal behind Korean Son Yeon-Jae.

In her next competition at the 2015 Sofia World Cup, Rizatdinova won the all-around bronze medal ahead of Melitina Staniouta.

On 9–13 September Rizatdinova (together with teammates Viktoria Mazur, and Eleonora Romanova) competed at the 2015 World Championships in Stuttgart, with Team Ukraine winning the bronze medal.

At the 30th Thiais Grand Prix event in Paris, Rizatdinova finished 4th in the all-around behind Melitina Staniouta, she qualified 3 apparatus finals taking silver in clubs, bronze in ribbon and placed 6th in ball.

In event finals: she won gold in ball, ribbon, silver in hoop and 9th after a drop in her mastery and in her dance steps in clubs.

On 17–19 June Rizatdinova competed at the 2016 European Championships where she won the All-around bronze medal scoring a total of 75.299 points behind Margarita Mamun.

[23] Rizatdinova competed at the 2016 Rio Olympics, on 20 August at the rhythmic gymnastics individual all-around final, she won the bronze medal with a total of 73.583, edging out Korean Son Yeon-Jae.