Drouet made his single-seater debut in 2017 in the French F4 Championship, his only year in formula cars. He scored one win but struggled for consistency outside of that result and finished fourteenth in the standings.
Switching to GT racing, Drouet joined AKKA ASP in the French GT4 Cup in the Pro-Am class and also competed in the GT4 International Cup alongside team owner Jérôme Policand. He collected two podiums in twelve French GT4 Cup races, finishing tenth in standings, while at the International Cup finale in Bahrain the pairing placed fourth in class.
In 2019, Drouet returned to the French GT4 Cup with AKKA ASP, scoring his first GT win and two additional podiums to finish sixth in the Pro-Am class.
His 2020 programme expanded to include two rounds of the GT World Challenge Europe Endurance Cup alongside Fabien Barthez and Jim Pla. At the Nürburgring round he claimed pole position on his Endurance Cup debut, finishing third in Pro-Am and setting the fastest lap in class. The 24 Hours of Spa ended in retirement after damage from an accident. Drouet also continued in the French GT4 Cup in the Silver class, winning two rounds and finishing fourth overall.
Drouet took the French GT4 Cup Pro-Am title in 2021 with AKKA ASP, clinching it at the final round at Paul Ricard. In parallel, his first full GT World Challenge Europe Endurance Cup season in the Silver class produced two race wins — at Paul Ricard and Barcelona — and a runner-up finish in the championship.
The 2022 season marked a step up in programme scale. Drouet competed full-time in both the GT World Challenge Europe Sprint Cup and in four Endurance Cup rounds with AKKODIS ASP Team. In the Sprint Cup he stood on the podium seven times and placed second in the Silver class. In the Endurance Cup he scored a podium and set the fastest lap, finishing ninth. Following this season, the FIA upgraded his licence classification from Silver to Gold.
With the Gold upgrade, Drouet entered the Pro class in the 2023 GT World Challenge Europe Endurance Cup with Mercedes-AMG Team AKKodis ASP. The step up in competition level proved difficult; the team scored points only once, at Barcelona, finishing twenty-second overall.
In 2024, Drouet moved to Boutsen VDS for a full Endurance Cup season alongside Maximilian Götz and a rotation of Mercedes-AMG factory drivers. The season was described as average in results; a sixth-place finish at Monza stood as the best result, with twelfth place the final Endurance Cup classification.
For 2025, Drouet departed the Mercedes-AMG stable entirely to join Ford's GT World Challenge Europe Endurance Cup campaign with HRT Ford Performance, competing in the pro class.
Drouet's career trajectory — from French F4 single-seater, through GT4 Pro-Am titles, into multiple seasons of Blancpain and GTWCE competition — mirrors the development path typical for French GT talent developed within the AKKA ASP structure. His debut Endurance Cup pole position at the Nürburgring in 2020 and his 2021 Silver class championship runner-up finish were the clearest indicators of his pace before the transition to the more competitive Pro category.