[3] He also played in a 3–1 victory over Dynamo Kyiv as a 70th-minute substitute, replacing the injured Oleksandr Kucher who scored twice.

[4] In January 2023, Kryvtsov joined Major League Soccer club Inter Miami on a two-year deal, with an option for a third-year extension.

[5] In his debut game for the club, Kryvtsov netted the opening goal of the match as Inter Miami defeated CF Montréal 2–0.

He made his first appearance for the senior national side in a 4–0 friendly defeat to Czech Republic on 6 September 2011, playing the full 90 minutes.

[8] Kryvtsov was included in the Ukraine national team squad at the delayed UEFA Euro 2020, held in 2021.