Adjet started his youth career with hometown side Toulouse Fontaines, with their academy competing at national level during this time.

[7] Failing to break through to the first team, Adjet was allowed to join city counterparts Blagnac FC on loan in January 2007 after being approached by an acquaintance in his hometown.

[9] Adjet's talent was spotted by former Nancy player and coach Christophe Bastien whilst training with the first team at Toulouse Fontaines.

[11] Nancy had finished in 4th place in the 2007–08 Ligue 1 season, giving Adjet the opportunity to be part of a squad competing in the 2008–09 UEFA Cup.

Here he would share the dressing room with future 2018 FIFA World Cup winner and France national football team record goalscorer Olivier Giroud.

[16] On 18 January 2010, Adjet made his full professional league debut, starting and playing 79 minutes of a 1-1 draw against Le Havre.

On 11 November 2016, Adjet scored his only ever goal in the Coupe de France, the opener against Blois Football 41 in a 2-3 defeat.

[24] On 10 November 2018, Adjet made a half-time substitute appearance against Trélissac-Antonne Périgord FC, eventually going onto score a nighty-third minute equaliser after his team went behind late-on.

[26] On 25 May 2019, Adjet sustained an injury to his knee cartilage against US Colomiers in his team's final game of the 2018–19 Championnat National 2 Group B calendar.

[27] This injury forced him to be substituted in the forty-second minute[28] and put Adjet's future playing career in real doubt.

[35] In his later career for Romorantin, Adjet often played in a more central midfield position, going on record to say this allowed him to see more of the ball and provide chances for teammates.