On 24 June 2019, he signed a new three-year contract with Dynamo.[6]
On 17 October 2020, he was loaned to Ufa for the 2020–21 season.[7] Upon his return from Ufa, he did not train with the main squad and started the 2021–22 season with the reserves. On 6 February 2022, Morozov's contract with Dynamo was terminated by mutual consent.[8]
On 14 February 2022, Morozov signed a two-and-a-half-year contract with Slovenian PrvaLiga side Celje.[9]