Colm O'Rourke feels there are some "contradictions" in the Government's decision to place all sporting events behind closed door.
On Tuesday, the Government's announced a ban on all spectators from sporting events until at least 13 September.
The GAA subsequently called for "empirical evidence" to be presented to explain the decision.
Speaking on Today with Sarah McInerney on RTÉ Radio 1, O'Rourke said Tuesday's announcement had come as a surprise to him.
"It's come as a surprise or maybe a shock to all of us who have been involved in the GAA," he said.
"We thought that things were going well. I don't think that there were any cases directly related to games or to clubs.
"Some clubs have had to stand down their members for a while, including my own, but these were always cases that were outside sport."
He added that of games he has attended, he did not witness "any great congregation of people before or after games" around stadia or venues in light of social distancing measures and feels crowds have been "acting very responsibly" under the previous measures.
"There seems to be a bit of a contradiction here when you look at the North of Ireland where there can be 400 at games and as well as that, we're going to have schools back, with over 900 in my own school indoor and 50 going on buses," he said.
"So it seems a bit of a contradiction that you can't have 110 at an outdoor event."
Paddy Mallon, Infectious Diseases Consultant at St. Vincent's Hospital said he understood the GAA's concerns in relation to spectator sports but added that he has an issue with the release of the statement which asked the acting Chief Medical Officer for "empirical evidence" to be presented to explain the decision.
This, he said, pinpoints Dr Ronan Glynn who is not a policy maker and the story "becomes about that, rather than the frustrations".
He described Ronan Glynn as an "exceptional individual who works with dignity and integrity, who is only interested in one thing and that's the public interest".
"We don't have too many people like Dr Glynn in the country and we need to be careful about how we treat people who are in these incredibly important but incredibly stressful positions," said Mallon.
He added that it was important that public frustrations with policy decisions are directed at those who make the decisions, not those who are offering advice.
While most matches were only admitting in region of 100 fans before yesterday's announcement, former Meath All-Ireland winner O'Rourke expressed concerns about the fate of county board finances for the remainder of the year.
"The big issue is that it means county boards finances are going to be absolutely nil for the rest of the year," he said.
"So there will be a massive hole in county board finances in order to run county teams for preparation for the championship which is coming up."
O'Rourke hopes the All-Ireland championships will now not be at stake and feels the country "needs the lift that championship action would give" this winter when inter-county hurling, football and camogie are all due to go ahead.
"The government have made a contribution of €40 million for the big organisations," O'Rourke added.
"I hope that if there are no spectators, that they make an even bigger contribution because it will be badly needed."
