On 15 January 2020, Gromyko signed a 3.5-year contract with
Russian Premier League club
FC Arsenal Tula. On 30 June 2021, he joined
BATE Borisov on loan until the end of 2021. On 28 February 2022, he joined BATE on a permanent basis until the end of 2022. On 4 July 2024,
Kazakhstan Premier League club
Kairat announced the signing of Gromyko on a contract until the end of the 2025 season. On 29 January 2026, Kairat announced that Gromyko had left the club following the expiration of his contract. ==International career==