Sunderland captain John O'Shea says the Republic of Ireland players wanted a replay after Thierry Henry's handball for France.
O'Shea has described as "ridiculous" claims that the Republic of Ireland's players should have been handed a share of FIFA's 5million euros loan in compensation for their World Cup play-off heartache.
He said: "For the French manager from that time to come out and say that now, it's easy from his point of view. To come out and say that the players [should claim a share], it's ridiculous.
"You are talking about what the players would have been looking for from that point of view. Ultimately, it was done and dusted, the game was over, but if there was going to be anything from it, it would have been, say, a replay.
"It wouldn't have been a case of monetary benefits from that point of view. But look, the game was done and dusted and these things happen, as they say."
O'Shea's comments came after the FAI published a copy of the confidentiality agreement it signed with FIFA, which describes the cash payment as an "inducement".
The document includes the paragraph: "On or before January 15, 2010, FIFA and FAI have entered into a loan agreement over 5million euros as an inducement for the FAI to enter into this agreement. Further, the FAI will receive an additional Goal Project in the amount of 400,000 US dollars than the one executed in 2009."