Papazoglou's first football steps were taken at the age of six in football academies of Giorgos Koudas in Thessaloniki, but soon after he moved to an amateur club AS Neapoli. From there he moved to Panserraikos, making his senior team debut during the 2006–07 season. He stayed to the club for over five years, managing also to wear captain's armband. During his spell with Panserraikos, he was also converted from midfielder to central defender.
His performances impressed the technical staff of Olympiacos and on 30 August 2010, he signed a five-year contract with the Greek giants. However, due to Olympiacos' completeness in this position, he was immediately given on loan back to Panserraikos for the 2010–11 season. After a remarkable presence during his loan to Panserraikos (24 appearances, 2 goals), apart from the positive feedback received from the media, he secured his return to Olympiacos in the summer of 2011. Papazoglou had a three-year presence at Olympiacos, appearing in 46 matches and scoring two goals in all competitions, managing to win three championships and two cups. On 23 July 2014, his contract with the club was terminated, as he was not among Olympiacos's plans for the 2014–15 season.
On 23 July 2014, Papazoglou signed a one-year contract, with the option of a further season with Cypriot champions APOEL. He made his debut against HJK Helsinki at GSP Stadium on 6 August 2014, in APOEL's 2–0 victory for the third qualifying round of the 2014–15 UEFA Champions League. He made his only 2014–15 UEFA Champions League group stage appearance with APOEL on 10 December 2014, playing the full 90 minutes in APOEL's 4–0 defeat against Ajax at Amsterdam Arena. On 1 February 2015, his contract with APOEL was terminated.
At the end of January transfer period, Xanthi proceeded to the acquisition of Papazoglou. At the end of the season, Papazoglou solved his contract with the club.
On 11 August 2015, Panetolikos announced a two year contract with the player for an undisclosed fee. On 6 September 2016, Papazoglou suffered a meniscus rupture, ruptured medial collateral ligament and anterior cruciate rupture in a friendly game against AEL, in a nasty tackle from Nico Varela. From February 25,2017 he has returned in the team, while, on April 5th,in the last Super League game against Xanthi was a starter.
On 17 July 2017, Apollon Smyrni officially announced the signing of central defender for an undisclosed fee.As of 5 April 2017
Papazoglou was a part of the Greek national under-19 team squad that reached the final of the 2007 UEFA European Under-19 Championship and managed to win the 2nd place. Then he became a member of the Greek national under-21 team, contributing significantly to his team's qualification for the play-offs of the 2011 UEFA European Under-21 Championship.Olympiacos
Superleague Greece (3) : 2011–12, 2012–13, 2013–14
Greek Cup (2) : 2011–12, 2012–13
UEFA European Under-19 Championship : Runner-up 2007