Rockefeller, 48, agreed to face a court in Boston, Massachusetts, where the abduction of Reigh Boss, who lives in London, is alleged to have taken place.
Advertisement
He waived his right to oppose extradition from Baltimore, Maryland, where Reigh, seven, was found on Saturday.
Reigh normally lives with her mother Sandra Boss, 41, in London.
She went missing after a supervised visit to Rockefeller who is divorced from Sandra.
Advertisement
Rockefeller, who uses several names, is accused of kidnapping and assault with a dangerous weapon.
It is thought to be an assumed name and police are still trying to find his real identity.
Advertisement