Tsivadze has a career high ATP singles ranking of 733 achieved on 22 June 2015.

He also has a career high ATP doubles ranking of 471 achieved on 14 August 2017.

Tsivadze has represented Georgia in the Davis Cup, where he has a W/L record of 17–21.

Tsivadze won a remarkable Davis cup match against Finland, winning over Patrik Niklas-Salminen being down 5-2 40-15 in the fifth set and then returning to win 7-5 in the tiebreaker.

This biographical article relating to Georgian tennis is a stub.