Guy Chambily, a member of the French Football Federation's federal council, has called for a complete overhaul of the organisation following France's World Cup debacle.
On Monday FFF president Jean-Pierre Escalettes announced he would be step down on July 2 after a campaign riven with team unrest and controversy. But Chambily insists the resignation of Escalettes is not enough and the position of anyone who supported Domenech should come into question.
"It's a step, but it is not enough," Chambily said in L'Equipe. "The management team of France has been so catastrophic that everyone who supported Mr Domenech stubbornly...there is a need for careful consideration."
He added: "Resign? They have to judge. With what just happened in South Africa, I think everyone will be reasonable."
Domenech, who is being replaced as coach by Laurent Blanc, will, along with Escalettes reportedly appear before the Committee on Cultural Affairs on Wednesday.
The committee will also hear from sports minister Roselyne Bachelot, according to reports.
Ahead of the committee's meeting, FIFA president Sepp Blatter has warned French president Nicolas Sarkozy that France risks suspension from football if he interferes in the running of the game in the country.
FIFA rules forbid government interference in the running of national associations and Blatter said: "Political interference in the national associations will be dealt with by FIFA no matter the size of the country.
"French football can rely on FIFA in case of political interference even if it's at the presidential level.
"France made an 'affaire d'etat' of football but it remains in the hands of the federation."