He is not required to but if he cares about you and your physical/mental health, he would help you by telling your parents. That is assuming your parents would care.
He will most likely ask if it’s diagnosed and if yes he will just tell your parents to check in with you and if no it could go three ways 1, he sits down and has a confidential conversation 2, he calls your parents during or after the convo 3, he just doesn’t care