Levadia Morozov came through the youth system at
Levadia. He won two
Meistriliiga titles in
2008 and
2009, and was named
Meistriliiga Player of the Year in
2012.
Polonia Warsaw On 15 January 2013, it was announced that Morozov had signed a two-and-a-half-year contract with
Ekstraklasa club
Polonia Warsaw.
Debrecen On 5 July 2013, Morozov signed a three-year contract with
Nemzeti Bajnokság I club
Debrecen. He won the Hungarian league title in the
2013–14 season.
Return to Levadia On 18 February 2016, Morozov rejoined Levadia on a two-year contract. In January 2020, he was registered for the club's reserve team,
FCI Levadia II, where he also would be to assistant coach under head coach Robert Sadovski, which he already worked with as an assistant coach for the U14 and U16 teams of Levadia during the 2018-19 season. ==International career==