The master bastman, who was re-elected to the high-profile post on ICC's insistence, said it was not possible for him to juggle in different responsibilities at the same time.
Commenting on the issue, Richardson said: "We are indebted to the work Sunil has put into his role as chairman of the ICC Cricket Committee.
"He has brought his vast experience of the game to bear, not only over the eight years of his chairmanship but also the six years prior to that, when he was a delegate on the same committee.