Chapron, 39, called the FFF "incompetent in the field of refereeing and others" after top-flight referees were suspended from all Ligue 1 matches on matchday 26.
They had demanded a 15-minute delay to all kick-offs in protest at player and coach dissent, which the FFF refused.
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The FFF replaced match officials with those from the amateur third tier that weekend, leading Chapron to call them "people who are not at the top (of their ability)".
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