
The 21-year-old was attended to by the emergency medical team in his wrecked Sauber, while marshals shielded the scene with a large sheet.
He was then extracted and taken away in an ambulance while the shattered car, with most of its side missing and wheels dangling, was lifted and taken back to the pits on a truck.
The Mexican rookie also suffered a sprained thigh but no broken bones. Perez will stay in the Prince Grace hospital at least overnight.
"Up to the accident he was doing very well in qualifying, and also better than expected as he had outperformed all his direct competitors."
Technical director James Key added: "First and foremost we are obviously relieved with the reports that Sergio is okay. It's always very worrying for a team when you see an accident of that magnitude, so it's good to hear that he is fundamentally okay.
"We are looking into what happened. There is no indication at the moment from the data we have seen that there was a problem with the car. But we have to talk to Sergio to investigate further what happened."
"There was a bit of a shadow over qualifying when you see a colleague crash and not jumping out of the car immediately," he added. "It is difficult to keep the focus and you don't feel 100 percent well when you don't know what is going on."
Jenson Button, who had a similar accident at the same spot in final practice with BAR Honda in 2003 and had to miss the showcase race that year, sympathised.