He now owns 10 percent of the Mercedes-AMG F1 team and acts as its non-executive chairman.
"One can absolutely assume that lung transplantation is not a late outcome of the fire accident", he said.
The hospital says Lauda was fully conscious 24 hours after the operation and is making "very satisfactory" progress and "all organs are functioning well".
Lauda is also very active in aviation - in January he bought back his old airline Niki, renaming it LaudaMotion but going on to sell a majority stake to Irish low-priced operator Ryanair two months later.
"The world knows Niki as an F1 legend with incredible power and resilience", Wolff said.
Perseid Meteor Shower to put on show over South Florida
It can take about 30 minutes for your eyes to adjust to the dark, and Cooke said the longer you wait, the more you'll see. The best Perseid performance we know of occurred in 1993, when the peak rate topped 300 meteors per hour, Cooke said.
Lauda was crowned F1 champion three times: in 1975, 1977 and 1984.
"Send you all my love, prayers and support, Niki", Hamilton wrote on Instagram.
"For all of us at Mercedes he is our chairman, our mentor and our friend", he added. The recovery he now faces is not a race.
Lauda experienced a serious crash at the 1976 German Grand Prix, inhaling toxic fumes and suffering horrific burns after a collision with a barrier that caused his vehicle to be engulfed in flames.
Mercedes boss Wolff underlined that Lauda is in no rush to return to work following his illness.