Total has a 9.5 percent share in the 75-year-old concession which has come to an end on January 10, while the emirate is expected to select by 2015 the international bidders.
"Total's chances are good," French International Trade Minister Nicole Bricq told AFP on the sideline of an energy conference in Abu Dhabi, the capital of the United Arab Emirates federation.
"It is a loyal partner, which has heavily invested and is appreciated... I am hopeful. It must be treated as a great partner and I think it deserves it," she said.
The government's Abu Dhabi National Oil Co held the remaining 60 percent.
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ADCO, which accounts for more than half of the emirate's oil production, will continue to operate the concession areas until ADNOC has processed bids by international companies for a new concession.
Industry sources expect the process to be completed in 2015.
The UAE, OPEC's fourth largest supplier, is one of the last few nations that have such agreements with international oil majors.
Current output is estimated at around 2.9 million bpd.
More than 90 percent of the estimated 100 billion barrels of UAE reserves are concentrated in Abu Dhabi, the largest emirate in the seven-member federation.