I te 2012 Summer Olympics i Rānana, Morozov i rite ki te mema o te Rūhia 4x100 mita freestyle relay kapa, i whakanohoia tuatoru i muri i France me te United States. I te kaukau i te waewae tuatoru, ka eke a Morozov ki te 47.85. I te 2016 Summer Olympics i Rio, ka kore a Morozov e tohu mo te whakamutunga i roto i ana kaupapa takitahi, te 50m freestyle me te 100m freestyle
, ka mutu i te tuaiwa me te tekau. Ka whakataetae ano a Morozov i te relay 4x100 mita koreutu a Ruhia, ka wehe i te waa 47.35. Heoi, ko te roopu relay ka tu i te tuawha i muri i te pa atu ki a Ahitereiria.