Arsenal manager Arsene Wenger ruled himself out of the running for the France job, after saying he is committed to the North London club.
Laurent Blanc's two-year tenure with France came to an end last week, with several quarters suggesting Wenger as a prime candidate to take over.
"Within the period provided for reflection, Laurent Blanc contacted Noel Le Graet to indicate his decision not to seek the renewal of his contract of national coach," a statement from the France Football Federation read.
"Mr Le Graet has acknowledged and applauded the work of Laurent Blanc at the head of the France team since August 2010."
Wenger has previously said he might think of taking an international job when he is at the end of his career, while also admitting he might find it too boring because of the lack of day-to- day activities.
"There are a lot of names," Wenger told Telefoot.
"But me, I will be very busy with Arsenal where my contract still runs for two years."
With Wenger's withdrawal, Didier Deschamps has been established as the favorite to take over.
Wenger, who has been with Arsenal for over 15 years leading them to a record 11 major titles, has found it a little difficult in recent times, with the Gunners now without a trophy for seven years.
There were widespread calls for the Frenchman's signature when Arsenal were in the bottom half of the table after a terrible start to last season, which saw them lose the likes of Cesc Fabregas and Samir Nasri to Barcelona and Manchester City respectively.
However, the Arsenal hierarchy kept faith in Wenger and the club's longest serving manager led the Gunners to a creditable third-place finish.
Wenger is now determined to guide Arsenal to success in the coming season, and has already wrapped up the signing of German international Lukas Podolski from Koln and French international striker Olivier Giroud from Montpellier for a combined fee of £24 million ($38 million). The Frenchman is also trying to convince club captain Robin Van Persie to commit his future to Arsenal.
The Gunners have also been heavily linked with another French international Yann M'Vila while a defender and a goalkeeper could also be on their way.
Wenger, however, will have to decrease the club's wage bill by letting go of the likes of Nicklas Bendtner, Marouane Chamakh, Johan Djourou, Andrei Arshavin and Sebastian Squillaci.
