FICA's outgoing President Paul Marsh said the world body should have waited for the allegations surrounding Srinivasan to be resolved before making him chairman of its board.
"We've seen in recent days significant changes at ICC level, which represent a new era in terms of the administration and leadership of world cricket," Marsh said.
"FICA's position on this is well known. Our strong preference was for the controversy involving Mr Srinivasan in India to be resolved before the ICC made a decision on the chairmanship.
Srinivasan was formally anointed ICC Chairman after the world body's council agreed to a contentious revamp of the administrative structure which vested executive decision-making authority with India, England and Australia.
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However, Srinivasan found support from Snedden, who said allegations against Srinivasan have to be proved first.
"(They are) allegations that we know nothing about made by people that are highly incentivised to get rid Srinivasan," he told 'New Zealand Radio'.
"The (Indian Supreme) court has said that they're untested and no inference is to be taken from the fact that they've asked for them to be investigated.