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.
More top news
Parents of British man Nick Alexander killed in Paris attacks speak ahead of memorial service in French city.
Christian Hickey, seven, was shot on the doorstep of his home, now he is asking Santa to help police catch the people who hurt him.
A man accused of stabbing his father to death during a row over food has been arrested by police.