Gammy's surrogate mother has vowed to care for him.
However, on Monday, the Australian Broadcasting Corporation reported the father claimed doctors had only told the couple about the baby girl.
"When the girl was discharged from the hospital, the mother asked me that if I would be able to raise the boy. How come they said that they didn't know about it? I don't understand, it sounds like they are lying," Pattaramon told CNN.