Gilchrist used the squash ball when he smashed 149 in a match his match-winning innings.
"We don't think he did anything illegal but we question whether it was unethical or within the spirit of the game," cricket board secretary Kangadaran Mathivanan told Reuters.
"We plan to raise the issue with the ICC in June so that there can be a discussion as to whether using an object inside the glove should be permitted or not," he added.
Gilchrist used the squash call after advice from his coach Bob Meuleman, who believed it would help him with his grip.
