A Mexican federal judicial official said that Couch's attorney in Mexico filed a document on Sunday seeking to lift the injunction that has kept the 18-year-old in that country.
El menor, quien fue reportado como desaparecido en Texas, fue hallado luego de que la AIC desplegara un operativo
Ethan Couch remains in custody in Mexico after winning a delay on his deportation back to Texas.
The mother and son were arrested in the Mexican resort city of Puerto Vallarta late last month.
Tonya Couch, who was deported from Mexico last week, arrived on a flight from Los Angeles and was taken to Tarrant County Jail in handcuffs and leg irons.
Ethan Couch was driving drunk and speeding near in June 2013 when he crashed into a disabled SUV, killing four people and injuring several others, including passengers in his pickup truck.
Tonya Couch, 48, appeared for an extradition hearing in downtown Los Angeles, where she was flown last week after being deported from Mexico.
En medio del debate por el control de armas en EU, la nueva ley de armas de Texas, que entrará en vigor el 1 de enero, permitirá la portación a la vista de armas de mano
Known as an "amparo," or protection, such appeals try to block a government action. Couch's attorneys are asking a judge to prevent authorities from deporting him or holding him without contact with lawyers, family members or visitors.