Gilchrist, whose record-breaking 149 led Australia to their fourth title, said later that he had a squash ball in one of his gloves to give him a better grip.
"I had a squash ball in my bottom-hand to help with my grip in training and I decided in this World Cup to use it in a match," he said.
The revelation caused uproar here, with Sri Lanka Cricket (SLC) secretary Kangadaran Mathivanan saying the matter could be taken up during next month's International Cricket Council (ICC) annual general meeting.
"We are of the opinion that it was unethical for Gilchrist to use a squash ball to give unfair advantage," Mathivanan told AFP.
He said Sri Lanka could call on the ICC's cricket committee for stringent application of 'Law 42' on fair and unfair play to ensure only the approved protection equipment was used.
Mathivanan said Sri Lanka Cricket would discuss the issue before deciding whether to raise it in London.
Sri Lankan newspapers have carried letters from irate fans accusing the Australians of resorting to unfair tactics to win the game.
"The question now asked by most Sri Lankan fans is whether the squash ball was used as a performance enhancing device," said The Island, a privately-owned newspaper.
Fans say the use of the ball gave Gilchrist, who had a poor run leading to the final, an extra edge over Sri Lanka's bowlers.