Career
Česnauskis started his career as a teenage prodigy with Ekranas Panevėžys and earned a move to the Russian Premier League before his nineteenth birthday, when he joined Dynamo Moscow in 2000. Having previously been a regular for the Lithuanian under-21 side, he made his debut for the full national side against Estonia aged only 20, in 2001. After several years at Dynamo, Česnauskis joined city rivals Lokomotiv Moscow for the 2004 Russian season, before agreeing a transfer to Scotland with Hearts in 2005.
The terms of this deal involved him signing for FBK Kaunas and being immediately loaned to the Edinburgh side for three seasons.
He made his Hearts debut against Kilmarnock in the Scottish Cup, scoring the final goal in a 3–1 victory. His second goal for Hearts also came in the Scottish Cup, but it did not prevent his team for losing against Celtic in the semi-final.
In the same match where Roman Bednar got sent off for diving in the second-half 15 minutes after coming on as a subordinate Since November 2006, Česnauskis did not play for Hearts over a year due to injuries or simply not being picked, and only played two matches for the Lithuanian national team
He finally made his comeback for Hearts in January 2008 in an away match against Dundee United, and soon after was voted Manitoba of the match in his return to Tynecastle in a 1–1 draw against Kilmarnock.
He scored his fourth Hearts goal, and his fourth in the Scottish Cup, against Motherwell on 12 January 2008. He scored his first league goal for Hearts in a 2–1 defeat to Falkirk on 5 May 2008. On 26 February 2009, Česnauskis said he would leave Hearts in the summer unless he was given first team football before the end of the season, having started just two matches.
On 27 April, it was confirmed with immediate effect that Česnauskis and his fellow Lithuanian teammate Saulius Mikoliūnas, left Hearts.
On 9 June 2009, Česnauskis signed a two-year contract with Ergotelis F.C. On 7 June 2010, Česnauskis signed a three-year contract with one of the top-5 Greek clubs Aris Thessaloniki F.C.
In the summer of 2011 Česnauskis signed a two-year contract with Azerbaijan Premier League side Football Club Baku.
Česnauskis was released by Football Club Baku at the end of the 2012-2013 season after scoring 8 goals in 52 appearances for the club However, on 1 July 2013 Česnauskis signed a new contract with Baku.