The 17-year-old, driving for Van Amersfoort Racing, crashed through the barriers at the Lisboa corner at high speed, straight into an area populated by photographers and race marshals.
Flörsch later took to Twitter to confirm that she was "fine but will be going into surgery tomorrow morning".
Miraculously, two photographers and a track marshal also survived after being caught up in the spectacular incident.
A statement from the organizers said the teenage driver was conscious and in a stable condition.
"Sorry to hear that @SophiaFloersch has a spinal fracture but looking at the horrific accident she had today in Macau it could have been so much worse".
On lap five, Jessopp got past Johnson and went straight after Webb for third, levering the former grand prix star aside before beginning to go after Rutter, who was almost five seconds ahead. Thanks to everybody for the Supporting messages.
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Photographer Chan Weng Wang sustained a liver laceration and is being observed in hospital, while the other photographer, Minami Hiroyuki, suffered a concussion and remains under observation.
"All were conscious during transit to the hospital and are now receiving medical treatment".
The injured marshal, Chan Cha In, suffered a laceration of the face and a fractured jaw. "I just hope she's OK", news.com.au quoted her as saying.
There was a delay of over an hour in Macau before the race got back underway.
Once it was restarted, the race was eventually won by Red Bull junior driver Dan Tickum after a total of eight drivers failed to finish due to various accidents, but it was Floersch's which was the most significant.