Michael Schumacher continues to recover from a horror fall that left him in an induced coma five years ago.
It is understood the German is being cared for at his home near Lake Geneva in Switzerland.
While his family have maintained secrecy about his ongoing health, Brawn offered a rare glimpse into the situation and ongoing optimism.
“We’re all optimistic about finding solutions in the future and there will be a time when things move forward for Michael,” Brawn, Formula One’s head of motorsport who helped mastermind Schumacher’s success at Benetton and Ferrari, told the BBC.
Brawn said the Schumacher family continued to function with his children doing well at their own sporting dreams.
“They are a terrific family, very well balanced, they’re following their own pursuits as well as supporting Michael,” Brawn said.
“We’ve seen Mick, his son, establishing himself in motor racing, and Gina Maria is quite involved in a form of equestrian, she’s been very successful with that.
“Corinna, Michael’s wife, that’s helped her through such a tough time. They have never relented with their support for Michael and their belief there will be solutions ahead.”
Brawn has been one of the few people allowed to visit Schumacher.
“It’s very difficult, for the privacy that the family want, and I have to respect that. They [early visits to the hospital] were very moving in the early days.”
While Schumacher has been treated at his home, there continues to be speculation of moving him to a specialist facility in the United States.
The seven time Formula 1 champion suffered severe head injuries on a family skiing holiday in the French Alps on December 29 2013, and has not been seen in public since.
It is understood he is not bedridden, nor on a complete life support system as he receives £50,000-a-week medical care at his £50million home in Gland, Switzerland.
His father Rolf confirmed his son has not been transferred to a £30m holiday home in Majorca, nor to a specialist American brain trauma clinic in Dallas.
“It’s been such a tough time”
Schumacher’s lawyer, Felix Damm, confirmed to a Hamburg court two years ago that the champion driver could “not walk”.
But the latest update came just last month from a German archbishop.
Georg Ganswein, who is one of Pope Francis’ key advisers, added that although Schumacher’s face has “become a little fuller”, he still looks the same.
Ganswein revealed: “He senses that loving people are around him, caring for him and keeping the overly curious public away.”