Tenn. Code Ann. § 37-1-143

Subject to the provisions of this part governing dispositions and to the extent that funds of the county are available, the court may place a child in the custody of a suitable person in another state. On obtaining the written consent of a juvenile court of another state, the court of this state may order that the child be placed under the supervision of a probation officer or other appropriate person designated by the accepting court. One (1) certified copy of the order shall be sent to the accepting court and another filed with the clerk of the county of the requesting court of this state.