[2] He made his debut as a second half-time substituted player for Metalist Kharkiv in the Ukrainian Premier League in an away losing match against Dnipro-1 on 3 May 2023.

[3] On January 28, 2025, Synchuk was signed by Major League Soccer club CF Montréal with a U22 Initiative contract through the 2028 season, along with an option for another year.

[4][5] In February 2023, Synchuk was called up to the final squad of the Ukraine national under-17 football team to play in the 2023 UEFA European Under-17 Championship qualification elit round matches.

[6] In March 2024, he was called up by manager Dmytro Mykhaylenko to the final squad of the Ukraine national under-19 football team to play in the 2024 UEFA European Under-19 Championship elit round matches.

[7] In May 2024, he was called up by Ruslan Rotan to the Ukraine Olympic football team squad to play at the 2024 Maurice Revello Tournament in France.