After spending his youth career at FC Perly-Certoux, FC Saint-Jean GE and Servette, Moubandje settled his career at Meyrin, where he started his career at sixteen years old.
Servette
In January 2010, Moubandje re-joined Servette, the club he spent when he was thirteen before he left for Meryin, signing his first professional contract. Moubandje remained in the reserve team until he made his first team debut for Servette debut in the second leg of the relegation play-offs, in a 3–1 win over Bellinzona on 31 May 2011. He then made his league debut for the club on 23 July 2011, where he came on as a substitute for Christian Schlauri in the 37th minutes, in a 3–2 win over Zürich. However, in a match against Neuchâtel Xamax on 14 August 2011, he received a red card after a second bookable offence, in a 0–0 draw. Moubandje scored his first Servette goal on 26 October 2011, in a 4–1 win over Grasshopper. In a 3–0 loss against Thun on 19 October 2011, he received a red card for the second time this season after another second bookable offence. He finished the 2011–12 season having made 26 appearance scoring once. In the 2012–13 season, Moubandje established himself in the starting eleven in the left-back position and appeared in the first nine matches until he suffered a knee injury. He also made his Europa League debut in the first leg of a Europa League Qualifier, in a 2–0 win over Gandzasar Kapan and went on to make three more appearances. After months on the sidelined, Moubandje made his return, coming on as a substitute for Vincent Rüfli, in a 2–1 loss against Basel. After being sent-off in a 4–1 loss against St. Gallen for a second bookable offence, Moubandje was unable to help Servette, who were relegated from the Swiss Super League at the end of the 2012–13 season. In the 2013–14 season, Moubandje made six appearance for Servette in the Challenge League and scored once, in a 2–0 win over Chiasso on 25 August 2013.
On 1 September 2013, Moubandje signed a four-year deal with Toulouse. He is expected to fill the gap left by the departure of Cheikh M'Bengue to Rennes. Moubandje made his Toulouse debut coming on as a substitute for Issiaga Sylla in the 85th minute of a 1–1 draw against Marseille. However, throughout the 2013–14 season, he suffered injuries, which restricted him to three appearances. He reflected his first season at Toulouse, expressing his disappointment, due to injuries, but hoped he could make a breakthrough in the first team next season. In the 2014–15 season, Moubandje made his return to the first team, being substituted on in the 60th minute of a 2–1 win over Lyon on 16 August 2014. After returning from an injury, he established himself in the starting eleven. He then provided an assist for Martin Braithwaite, who scored a winning goal in a 2-1 win over Nantes on 14 December 2013. He provided another assist, for Jean-Armel Kana-Biyik's winning goal in a 2–1 win over Bordeaux. Despite suffering setbacks through injuries and suspension, Moubandje made 33 appearances in all competitions. In the 2015–16 season, Moubandje competed with William Matheus for a place in the starting lineup. In a match against Marseille on 23 September 2015, he received a red card after a second bookable offence. He had few first-team opportunities and was linked with a move away from Toulouse, but stayed at the club nevertheless. He was recalled to the first team on 16 January 2016, where he played for 4 minutes after coming on as a substitute, in a 2–1 loss against PSG. Three days later, on 19 January 2016, Toulouse played against PSG for the second time in three days in the fourth round of Coupe De France and Moubandje scored in a 2–1 loss. He ended the 2015–16 season with 28 appearances and 1 goal in all competitions. Ahead of the 2016–17 season, Moubandje signed a three-year contract extension with the club, keeping him until 2019. Following William Matheus' departure, he regained his first team place in the left-back position and helped the club to a winning start, including a 2–0 win over defending champions PSG. He also provided an assist for Jimmy Durmaz's winning goal in a 2–1 win over Guingamp on 17 September 2016.
Dinamo Zagreb
On 15 July 2019, Moubandje signed a three-year deal with Dinamo Zagreb on a free transfer.
Born in Douala, Cameroon, Moubandje lived in Cameroon until his family moved to Geneva, Switzerland when he was eight, along with his brothers. Moubandje revealed that his older brother introduced him to football when he gave him his first football shoes and revealed that he used to play in barefoot in his home country. In addition to having Cameroonian citizenship, he also holds Swiss citizenship. Moubandje revealed that before the game, he makes a sign of a cross and kisses his tattoo.
