Schumacher retired from the sport at the end of 2012 but has taken up an ambassadorial role with the company.
The German's run will take place during the build up to this season's Nurburgring 24 hours race.
"I have a lot of fond memories of the Nurburgring and am really looking forward to giving fans and friends from my home town of Kerpen, which is quite close to the Nurburgring, something to remember as they see me drive by," he said.
But it will be a fantastic experience for me too, driving along the Nordschleife in a state-of-the-art Formula 1 Silver Arrow, particularly in view of the fact that the Silver Arrow's legend began here. Posting a lap in a modern Silver Arrow on the most beautiful and most testing circuit in the world, what a brilliant mix - it's every motor racing driver's dream."
The 14 mile Nordschleife was used as the venue for the German Grand Prix until 1976, when Niki Lauda suffered a serious accident.
The truncated, modern version of the circuit will host Formula 1 in July.
Schumacher's run will be the first time a Formula 1 car has taken to the legendary circuit since Nick Heidfeld's demonstration run for BMW in 2007.