After a very promising early career in which Stohr rose to prominence relatively quickly, he joined Arrows for the 1981 Formula One season, as team-mate to Riccardo Patrese. Patrese proved considerably faster than Stohr, who struggled in his first few races. Ironically, just as Stohr began to improve, he was involved in a bizarre startline accident at the 1981 Belgian Grand Prix, in which he ran into the back of Patrese's stalled car, injuring Dave Luckett, an Arrows mechanic. The starting procedure was utterly chaotic with mechanics on the grid and some cars' engines running and others not, and the Arrows drivers and Luckett can be seen as innocent victims of the officials' shortcomings.
In any case, Stohr's confidence was badly affected, and his performance throughout the rest of the season deteriorated, along with that of his team, relative to their rivals. Stohr retired after the end of the season and started a successful racing school.
| Year | Entrant | Chassis | Engine | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | WDC | Points |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1981 | Arrows Racing Team | Arrows A3 | Cosworth V8 | USW DNQ | BRA Ret | ARG 9 | SMR DNQ | BEL Ret | MON Ret | ESP Ret | FRA DNQ | GBR Ret | GER 12 | AUT Ret | NED 7 | ITA DNQ | CAN | LVS | - | 0 |