Romain Grosjean left hospital in Bahrain on Wednesday after the French Formula One driver was treated for burns to his hands suffered when his Haas car was engulfed in fire during Sunday's Grand Prix.
Grosjean, 34, had an astonishing escape after the vehicle penetrated the metal crash barriers in the race at the Sakhir circuit, splitting in two and erupting in flames.
The same circuit hosts another race this weekend but Grosjean will not take part, replaced by the team's Brazilian reserve Pietro Fittipaldi.
Haas said Grosjean will remain in Bahrain to continue private treatment.
The driver said on Tuesday that he still wanted to drive in next week's season-ending Etihad Airways Formula One Abu Dhabi Grand Prix.
"Even though it is complicated for those close to me, it is a need for me to get back into a Formula One car, to see where I am, if I can continue to drive," he said.
If Grosjean recovers in time to race in Abu Dhabi, it will be the Frenchman's final grand prix for Haas after the team this week announced an all-new driver lineup for the 2021 season.
Nikita Mazepin, the 21-year-old Russian currently racing in Formula Two, was confirmed on Tuesday before the team added Mick Schumacher on Wednesday. The son of the great Michael Schumacher is also stepping up from F2, where he leads this season's standings.