Sokolova made her international debut at the 2018 European Championships in Guadalajara, ending 38th in the All-Around, 70th with hoop, 31st with ball, 49th with clubs and 61st with ribbon.

[3] After the 2020 season was cut short because of the Covid-19 pandemic Anna returned to competition at the 2021 European Championships in Varna, finishing 46th in the All-Around, 53rd with hoop, 38th with ball, 47th with clubs and 44th with ribbon.

[10] A couple of weeks later Sokolova competed at the European Championships in Tel Aviv, taking 37th place in the All-Around, 33rd with hoop, 34th with ball, 45th with clubs and 38th with ribbon.

[11][12] In August she represented Cyprus at the Commonwealth Games in Birningham along Neofyta Mavrikiou and Anastasia Pingou, finishing 5th in teams, 7th with clubs, 8th with ribbon, winning silver in the All-Around and with hoop as well as bronze with ball.

[17] At the World Championships in Sofia Anna was the sole representative of Cyprus, ending 31st in the All-Around, 29th with hoop, 28th with ball, 36th with clubs and 39th with ribbon.