Brawn, 59, became team principal of the Brackley-based outfit in 2010, but he stepped down from the position last year.
However, having guided Mercedes to their first ever title with a one-two finish at the Russian Grand Prix on Sunday, Wolff has admitted that Brawn "built the foundation of the team".
"We talked about Ross a lot and he has been so fundamental to the team. He built the foundation of the team. This is his trophy, too. There are several hundred people in Brackley and Stuttgart who have played a part as well," he told BBC Sport.