In 2017, David's last year in karts, he chose to race with the Schumacher name and finished as runner-up in the DKM Championship to Dennis Hauger in the senior class.

[2] In August 2017, it was announced that Schumacher would graduate to single-seaters, competing for his father's US Racing outfit in the 2018 ADAC Formula 4 Championship.

[3] In January 2018, he made his single-seater debut, contesting the Formula 4 UAE Championship with Rasgaira Motorsports Team from the second round onwards.

In March 2019 it was announced that Schumacher would compete in the inaugural season of the Formula Regional European Championship, returning to the US Racing team co-owned by his father.

[9] He claimed four race victories over the season, including two consecutively at the Circuit de Barcelona-Catalunya, as well as five other podium finishes, five pole positions and three fastest laps.

In September 2019 Schumacher made his debut in the FIA Formula 3 Championship, standing in at Campos Racing for the injured Alex Peroni at the final round in Sochi.

Schumacher made his first appearance at the Macau Grand Prix in November, racing for Sauber Junior Team by Charouz.

[17] In April 2022 it was announced that Schumacher would return to Charouz Racing System, the team which he drove for in 2020, to replace Ayrton Simmons at the Imola round.

[20] At Zandvoort, Schumacher made his second appearance of the season with Charouz, as Christian Mansell returned to his main campaign in the Euroformula Open.

His season started in a promising manner, qualifying tenth at the Lausitzring and eventually finishing 14th,[24] however a flurry of retirements as a result of crashes, most notably one with three-time DTM champion René Rast at the Nürburgring, led to criticism regarding the German's driving conduct.

[25][26] The best result of the season came at Spa-Francorchamps, where Schumacher ended up eleventh, a mere second behind the points positions, albeit that weekend also yielded a twelve-place grid penalty for Race 2 caused by multiple track limit infractions.