The 24-year-old British driver was taken to the University Medical Centre in Las Vegas for “precautionary investigations”.
But Norris is expected to be fit for next weekend’s season-concluding race in Abu Dhabi and McLaren are confident he will be given the green light by the FIA’s medical team.
Norris posted on Instagram and said: “Rough day. Big impact. But feeling okay! Thanks for all the messages. See you next weekend.”
In a post-race press release from McLaren, the driver also said: “An unfortunate end to our Las Vegas GP weekend. I just bottomed out on the restart, lost the rear and hit the wall.
“Not the way we wanted the weekend to end. Big thanks go to the medical staff for checking me over, and to the team for the work they’ll now put in on the car. One week to reset and go again for the season finale in Abu Dhabi.”
McLaren team principal Andrea Stella added: “The most important thing today is that Lando is in good condition after what looked like a scary accident in a very fast section of this circuit.”
Additional reporting from PA