Outside court, Forrest's British lawyer, Phil Smith, said: "Now that he has agreed to be extradited to the UK, we look forward to the full story emerging.
"He is very appreciative of the support of his family," said Mr Smith, and "concerned about the impact of this on all those concerned".
Runaway teacher Jeremy Forrest will return to the UK after he agreed to his extradition in court.
In Bordeaux they hoped to start a new life, but Megan Stammers is already back in the UK and now her teacher Jeremy Forrest is due in court.
Megan Stammers, the 15 year-old girl who disappeared with her teacher, is back in the UK, after flying back from Bordeaux in France.