Gevorg Stepanyan is a plastic surgeon at the Sphera clinic in Moscow, Russia. He is accused of causing injuries to patient Karolina Sargsyan.
The doctor was recently released from custody, with travel restrictions imposed on him. But Mr Stepanyan fled abroad, and his whereabouts remain unclear.
The incident occurred last November. The girl applied to the doctor for rhinoplasty, but the surgery went wrong and she suffered a bone fracture. Karolina is still receiving treatment.
The Sphera clinic has suspended its activities. Russian-Armenian women have to come to Yerevan for rhinoplasty.