The boycott of training led to FFF's managing director Jean-Louis Valentin quitting his post.
According to a senior FFF official, the squad's training boycott was prompted by several players.
And the French Football Federation (FFF) has no intention of proposing a replay, BBC Sport has learned.
The FFF had asked City to suspend him in line with their ruling, but the request was refused.
"What upsets me the most is the psychodrama of last weekend, " added the FFF president, referring to Sunday's training boycott.
However, it is likely details will emerge about happened within the French camp in South Africa well before the FFF meeting.
As a consequence, a statement was issued by the FFF stating that Anelka had been excluded from the squad, a measure supported by Domenech.
Ms Jouanno said the future of the national technical director, Francois Blaquart, who was suspended after the revelations, would be decided by the French Football Federation (FFF).
According to the agreement signed with the FFF, the players would not receive a bonus for failing to reach the second round but could have benefited from marketing revenue generated by the squad.
The affair has plunged the French Football Federation (FFF) into controversy less than a year after Laurent Blanc was brought in to sort out the national team, after its embarrassing performance at last year's World Cup.
With Fifa having rejected the Republic's plea, it was thought Ireland's only hope was if France themselves came forward and backed plans for a replay - but the FFF believes such a notion to be a nonstarter, BBC Sport understands.
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