Football Federation Australia (FFA) chairman and Australian businessman Frank Lowy has undergone surgery to remove a blood clot in his brain caused by his painful fall during the A-League grand final.

Lowy, who is the owner of shopping centre and real estate investment giant Westfield Corporation, fell from the presentation stage during the trophy ceremony after Melbourne Victory's title win over Sydney FC, stumbling and falling off the dais onto the pitch.

Lowy had appeared to recover quickly from the fall, getting to his feet moments later and completing the post-match formalities.

But a statement from Westfield said Lowy began to feel unwell a few days before the surgery and an examination revealed that he had a subdural haematoma — something not uncommon after head trauma.

The company said he is not out of hospital in Europe and recovering.

"The procedure was performed in Europe where he is holidaying," the statement read.

"Mr Lowy is now resting comfortably and following a short convalescence will return to Australia."

FFA chief executive officer David Gallop said football fans across Australia were wishing Lowy a speedy recovery.

"On behalf of the football community, I send our best wishes to Frank and our hopes for a full and rapid recovery," Gallop said.

"Medical reports indicate that he will make a full and speedy recovery and we look forward to seeing the chairman back home soon."

ABC/Reuters