Brown had the surgery to stablise his T7 vertebra suffered after his fall at Eagle Farm on Saturday.
Prentice said no decision had been made when Brown could return to Sydney.
"Corey is very thankful for the efforts of the staff and surgeons at the Royal Brisbane Hospital," he said.
Earlier report Sunday - Sydney jockey Corey Brown was to be operated on at Royal Brisbane Hospital on Sunday to stabilise the his fractured C7 vertebra injured in his fall at Eagle Farm on Saturday.
Brown fell near the 300m when Lord Arthur appeared to be tightened for room and the Group 2 winning Camelot colt went down throwing Brown to the turf. Lord Arthur sustained a major fracture near the hind leg and was euthanased.
Brown also is reported to have a fracture sternum and a small puncture of a lung from the fall.
After recovering from the surgery he may then be moved back to Sydney.
Queensland Racing Integrity stewards' opened an inquiry into the fall with initial evidence taken on Saturday from Tim Clark (Stars Of Carrum), Tommy Berry (Nobu) and Matthew McGillivray (Grand Bouquet). The inquiry was adjourned to a later date to allow Brown to be present.
Corey Brown, picture Sportpix.com.au