Kovalev has represented Belarus in four Chess Olympiads: In 2012, he scored 2½/5 (+1–1=3) on the reserve board at the 40th Chess Olympiad in Istanbul; in 2014, he scored 5/8 (+3–1=4) on fourth board at the 41st Chess Olympiad in Tromsø; in 2016, he scored 5/8 (+3–1=4) on second board at the 42nd Chess Olympiad in Baku; in 2018, he scored 6/9 (+4–1=4) on first board at the 43rd Chess Olympiad in Batumi.