Zaria netted his first top-league goal in a 1–0 away win over Torpedo Kutaisi on 26 November 2016.
Also, the Erovnuli Liga recognized Zaria's individual performance in 2023 by naming him in Team of the Season.
[3] Zaria opened his goal scoring account in the very first game of the season with a long-range strike against Kyzylzhar, which helped his new team snatch a narrow victory.
[4] On the last matchday, he converted from the spot against Atyrau which turned out not only a game winner but also a title decider in favour of Kairat.
[6][7] Zaria made his debut for the Georgia national team on 5 September 2021 in a 2022 World Cup qualifier against Spain.