Eremenko represented Finland between 2003 and 2013, and was a key player for the team in 2006 World Cup qualifying, scoring seven goals, four of which came from free kicks.

Eremenko was born in Rostov-on-Don, Russian SFSR, Soviet Union but moved to Finland with his family at the age of seven when his father, former FC Dynamo Moscow and FC Spartak Moscow player Aleksei Yeryomenko, came to play in Finland with FF Jaro.

He made 38 appearances with Lecce in all competitions, but after failing to make a major breakthrough at Lecce, he moved to Russian Premier League club FC Leon Saturn Ramenskoye on a four-year deal in January 2006 transfer window for a transfer fee of €1.5 million, becoming a key player for the Russian side.

On 29 July 2009, Eremenko signed a three-year contract with the Ukrainian Premier League club FC Metalist Kharkiv, and [2] scored his first goal in his debut game against HNK Rijeka.

On 5 March 2011, Eremenko was given his second straight red card of the season against Hearts at Tynecastle after an off the ball altercation with the opposition captain Marius Zaliukas.

[10] On 15 July 2011, it was reported in a Finnish newspaper that Eremenko was signing for Leeds United, but the transfer was delayed due to a cancelled flight, which prevented him from linking up with the squad in Scotland.

On 30 August 2011, Eremenko signed a contract with Russian club Rubin Kazan alongside his younger brother Roman, for a fee of €500,000.

[11] In June 2013, Kazakhstan Premier League club Kairat Almaty signed Eremenko for a €200,000 fee from Rubin Kazan.

He shared the third position among the top scorers in the group, along with Adrian Mutu, but behind Jan Koller and Ruud van Nistelrooy who both scored nine goals.