Maths teacher Jeremy Forrest agreed to his extradition at a hearing in the port city on Tuesday.
His British solicitor said the "full story" of his disappearance with 15-year-old Megan Stammers to France will emerge once he has been returned to the UK.
Phil Smith of Tuckers Solicitors said Mr Forrest was "most concerned" about the impact of events on all those involved.
Megan was reunited with her family at the weekend.
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Startled Mohammed Asif leapt from the first-floor of his home in Smethwick, Birmingham, as officers stormed his property.
Tens of thousands of people paid their respects at a full state funeral for Romania's King who was deposed by Communists in 1947.
Remaining cold for most this weekend with the risk of ice overnight