This question is regarding zakat fitrah which is given on the night of eid. I am a young adult and I live with my parents and my question is whether I have to pay my own zakat fitrah or will my parents do this. I also dont have any dependents.

Dependency means not that you are not taking pocket money from your parents instead of that if you are living together and your father is bearing all house expenses and generally people consider you as living under your fathers care.