[4] After attending the Rangers 2019 training camp, Kravtsov was assigned to make his North American debut with AHL affiliate, the Hartford Wolf Pack, to start the 2019–20 season.
Registering 1 assist in 5 games, Kravtsov opted to continue his development back in Russia, securing a loan for the remainder of the season with former club, Traktor Chelyabinsk of the KHL, on 28 October 2019.
[5] Kravtsov appeared in 11 games in his return to Chelyabinsk, recording 3 points, before his loan was ended prematurely by the Rangers and he was re-assigned to re-join the Wolf Pack on 13 December 2019.
As an impending restricted free agent with the Canucks, on 25 May 2023, Kravtsov opted to return to Russia and rejoin Traktor Chelyabinsk of the KHL on a two-year agreement through 2025.
[16] He ended the tournament with 6 points in 7 games, helping Russia claim the bronze medal against Swiss national junior team on 6 January 2019.