All perfect praise be to Allah, The Lord of the Worlds. I testify that there is none worthy of worship except Allah, and that Muhammad is His slave and Messenger.
Being dutiful to one’s parents is a religious duty even if they are non-Muslims. This is more emphatic if they are Muslims. Allah Says (what means): {But if they (both) strive with you to make you join in worship with Me others that of which you have no knowledge, then obey them not; but behave with them in the world kindly…} [Quran 31:15]
The one who informed you that you had nothing to do with them is not right, instead they have many rights over you. Therefore, we advise you to live with them, not to leave them, to try your best to be kind hearted toward them, and call them to the Sunnah with good manners as this is a form of being kind and dutiful to them. Moreover, you should be a good example of Sunnah in your faith, conduct and practices.
We ask Allah to help you and guide your parents to the Sunnah.
Allah Knows best.