The 59-year-old, who left his role as team principal at the end of the 2013 campaign, announced his retirement from the sport on Saturday.
"There is always an impact when somebody like Ross leaves," BBC Sport quotes Wolff as saying. "He was an iconic leader.
"We are going to see he will be missed when it gets stressful on race weekends, with his leadership and his kindness."
Brawn won 16 titles during his Formula 1 career.