The former defender failed to reach agreement with French bosses over a contract extension prior to Euro 2012, and Les Bleus' exit from Euro 2012 at the quarter-final stage has intensified the speculation surrounding his tenure.
The uncertainty has also led to him being linked with various coaching roles, including the vacancy at Tottenham, where chairman Daniel Levy - a known admirer of Blanc - is actively seeking a replacement for Harry Redknapp.
Blanc has also come under fire for his loyalty to Samir Nasri, who has been lambasted by the French press for his disruptive influence on the squad.
The Manchester City star is reportedly being targeted for disciplinary action by the FFF for swearing at a reporter following France's 2-0 defeat to Spain on Saturday.
Meanwhile, Lille boss Rudi Garcia lamented the infighting within the French squad and suggested leaving out troublemakers from the national side altogether.
"Do not move ahead with those who do not respect the jersey or their team-mates," he told RTL.
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"I think a code of conduct must be implemented so that French footballers are again respected, because [the incidents at the Euros are] wrong for the image of football."
Garcia's comments come after former boss Raymond Domenech blasted the Bleus squad for their inability to work together as a team.
"A major tournament reveals the strength of a group, a generation," the 60-year-old said to AS.
"[Euro 2012] showed the full extent of [France's] weaknesses, the most glaring being their inability to see anything other than their navel."