With the Ukrainian team, Zhyhalin won the European Championship Group B in 2016, 2018 and won a silver in 2019 European Championship.

[2] He was also a part of the Ukraine roster in the men's goalball tournament of the 2020 Summer Paralympics.

[3] He took part in the 2022 Goalball World Championships, where his team won the bronze medal.

[4] He then competed in the 2023 European Championships, where his team won the men's tournament.

[5] Zhyhalin was on the team that won silver in the men's tournament, at the 2024 Summer Paralympics.