On Saturday, Le Drian started his two-day visit to Qatar, Saudi Arabia, Kuwait, and the United Arab Emirates in order hear the positions of the states on the ongoing diplomatic row as well as to offer France's contribution to the mediation efforts led by Kuwait, according to the French Foreign Ministry.
Last month, Saudi Arabia, Bahrain, UAE and Egypt severed ties with Qatar accusing it of supporting Islamist terrorist groups and arch-foe Iran.
A group of six countries that have banded together to boycott Qatar have reportedly written to Federation Internationale de Football Association and demanded the 2022 World Cup be moved out of the country.
On June 22, the four Arab nations urged Qatar to abide by a 13-point list of demands if it wanted the crippling blockade lifted, but the defiant Doha government has strongly refused to comply, calling the demands "unrealistic, unreasonable and unacceptable".
"We hope to resolve this crisis within the Gulf house, and we hope that wisdom prevails for our brothers in Qatar in order to respond to the demands of the worldwide community - not just of the four countries", he said. In return, the four countries vowed to impose further sanctions on Doha.
"France should be a facilitator in the mediation" led by Kuwait, Le Drian told reporters following talks with his Qatari counterpart Sheikh Mohammed Bin Abdulrahman Al Thani.
Sheikh Mohammed, in an apparent reference to punitive measures leveled against Doha by the bloc, said curbing terrorism could not be carried out through "practicing political and intellectual terrorism against a state".
Qatar and the US signed a deal to combat the financing terrorism, during a visit to Doha by the US Secretary of State Rex Tillerson on Tuesday, a move that comes as the Gulf crisis continues in the region.