Narcissist's are not capable of feeling love. They appear to be in love with themselves, but they truly aren't. It is all a facade. Their actions are a learned behavior. Their deep dark secret is that they feel flawed. Your narcissistic parent will claim they love you, but they don't. Remember not to take it personal. You are loveable, it's not your fault they can't love you.
Do you believe your narcissistic parent loves you?