Abramenko made his World Cup debut on 8 January 2006 in Mont Gabriel, Canada.

On 6 March 2006, he won a silver medal at the 2006 World Junior Championships in Krasnoe Ozero, Russia.

On 19 January 2008, Abramenko finished tenth at the World Cup event in Lake Placid, United States.

[5] His first World Cup podium came on 25 February 2012, in Minsk, Belarus, when he was second after another Ukrainian Stanislav Kravchuk.

In 2015–16 season, he became the first-ever Ukrainian to win World Cup in aerials or any other freestyle discipline.

But later, his performances improved, and on 19 January 2018, he achieved his eighth podium in Lake Placid, United States.

[12] Abramenko became the second native of Ukraine to win Olympic gold in freestyle after Anton Kushnir, who in 2014 represented Belarus.

[3] On March 4, 2022, The New York Times reported that Abramenko was planning to leave Kyiv to stay with his coach Enver Ablaev who lives in Mukachevo, Transcarpathian region.