Career
AEK Athens
Gentsoglou was promoted from the AEK youth in 2006, but made his first senior appearances for AEK in 2008-2009 season. On 25 June 2008, Gentsoglou renewed his contract with AEK until 2014. Gentsoglou was first used as a Center Back by coach Dusan Bajevic, but he was not suitable for that position.
After signing with famous Greek agent John Kainourgios,on his first appearance as a defensive midfielder, in the middle of the 2009–2010 season, Gentsoglou did greatly, and he has been featured in almost every AEK Athens game since then
The following week Gentsoglou scored the equalising goal against Kavala. After the arrival of new coach Nikos Kostenoglou, Gentsoglou has featured in most of AEK"s matches in the 2011/12 season.
Sampdoria
On 19 January 2012 he finished his career in AEK in order to sign a contract with Sampdoria. Gentsoglou did not feature for Sampdoria in the 2011-2012 season, and was sent out on loan the following season to Serie B squad Livorno to gain playing experience.
Gentzoglou will continue his career in Serie B on loan for Spezia, as stated by the official website of Sampdoria.The 23-year-old defensive midfielder was not among the first priorities of Sinisa Mihajlovic.As it became known, Spezia next summer will have the right to buy the contract of the player.
Ergotelis
On 30 August 2014, Gentzoglou returned to Greece to continue his career in Greek Super League playing for Ergotelis. Gentsoglou will be in Ergotelis F.C. for the next 2,5 years. Six months after his transfer to Greece, Savvas Gentsoglou could return to play in Italy.
According to the newspaper Il Tirreno, Associate of Science Livorno Calcio has started negotiations with the Ergotelis for the purchase of the former player of Sampdoria and Spezia.
Bari 1908
On 23 June 2015, the Serie B club Bari 1908 announced the signing of Gentsoglou till the summer of 2018 for an undisclosed fee. Gentsoglou was first called up to the Greece U-19 in 2007, he featured in all of Greece"s games in qualifying for the 2008 Union of European Football Associations European Under-19 Football Championship.
