A relationship with parental support always works better I think.
There were times before I married my wife where I thought that I had met "the one",
Take into account what issues parents see, if you can counter those arguments with solid and PRACTICAL arguments, try to bring your parents around to what you see.
Give things time. If the relationship is new it may not be right and your parents may see that.
A key is if living with your parents in their home, follow their rules. Even if you want to be independent marriage or love is not a key to independence it is a long term commitment to more rules mutually agreed between you and another.