Bachelot also revealed that the players "applauded me and they were crying" after her speech, during which she asked them "How would you like people to remember you and what image do you want to leave behind?"
According to a senior FFF official, the squad's training boycott was prompted by several players.
"The three or four leaders are players past their prime who will never play a World Cup again," FFF general secretary Henri Monteil told French daily newspaper La Charente Libre.
Later on Sunday, the French coach read out a statement on behalf of the players but was keen to add that he had not supported the boycott.
"We had to do something - the French people had a right to know," added Domenech.
"What I should have said at the end of the message was that I did not support this action.
"With the FFF president and staff members, we tried to convince them it was stupid. I disagreed with the document. What they were doing was unthinkable.
"We've wasted a lot of energy. There are no words to explain what has happened. I'm hoping we will now have action on the pitch rather than off it."
France are on the verge of making an early World Cup exit, having picked up only one point from two games.
They need to beat South Africa on Tuesday by a large score and hope that Uruguay and Mexico do not draw their match.
Players 'like seven-year-olds who don't respect the teacher', says French fan
Meanwhile, in France, the national media have largely condemned the players' actions.
French sports paper L'Equipe wrote: "A rebellion? No, a caprice. A strike? No, cowardliness. Don't deceive yourself. The republican solidarity that our players showed the world yesterday is an illusion.
"Evra has once and for all shown that he has muddled up the role of captain with that of a gang leader.
"Domenech, by lending a hand to this masquerade and reading out himself the players' statement, has missed his final opportunity to show some style and courage."
Newspaper Le Figaro added: "It is collective suicide... the French team has heaped ridicule on itself in front of the whole world at Knysna.
"It was almost hallucinatory. This is a psychodrama that will go down in the history of the World Cup. The French team has been reduced to ashes."
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