Last month, Qatar had ties with six Arab counties cut because they considered the Gulf state a base of terrorism.
The Arab quartet have expelled Qatari nationals and imposed a blockade, impacting mixed-nationality families in the Gulf, students and people seeking medical treatment overseas.
"France does not want to substitute the mediator", Le Drian said in Saudi Arabia.
France is looking to throw its weight behind Kuwait-led mediation between Qatar and the four Arab countries boycotting it, Jean-Yves Le Drian said before meeting the Crown Prince of Abu Dhabi and Deputy Supreme Commander of the Armed Forces.
Ties between Doha and other Persian Gulf Arab states suffered an eight-month breach in 2014 over Doha's alleged support for the Muslim Brotherhood.
When UAE Minister of State for Foreign Affairs Anwar Gargash said the boycott of Qatar will continue, he meant that the USA secretary of state's efforts have failed, and that Arabs have realized that Washington has given in to political opportunism and self-interest.
"We need to be certain that Qatar, a state with $300 billion in reserves, is no longer an official or unofficial sponsor of jihadist and terrorist causes", he said, giving no further detail on the proposed monitoring.
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Immediately after the move, Saudi Arabia, the UAE, Bahrain and Egypt rushed to ban all Qatari media.
The Trump administration is once again sending mixed messages on Qatar and the crisis among U.S. Gulf allies.
"Despite the fact that we are not seeing any impact of this [Qatar] crisis on the intra-Syrian talks, greater unity in the Arab world is needed to reach agreements on conflict situations that are taking place in the Middle East", Borodavkin told reporters. The countries which have boycotted Qatar insist that Doha meet their demands while Qatar has rejected their demands.
That said, the quartet appears reluctant to escalate the crisis further, especially without global support, which they have been unable to garner.
Qatar Airways boss Akbar Al-Baker accused neighbouring Gulf states of "bullying" his country but said it could ride out the crisis.
On July 11, U.S. and Qatar signed an agreement to help combat "terrorism financing". What is interesting is that the USA secretary of state, during his trip to Doha, described Qatar's stance as "logical". But the Saudi-led group called it "insufficient".
Mr Al Jubeir said Riyadh hoped the crisis could still be solved "within the Gulf house". Saudi Arabia and its allies believe the USA has mostly sided with Qatar in the current crisis rather than backing them.
