Is it normal to not be attracted to your own race?
Yes, it can be normal not to feel attracted to people of your own race. Attraction varies from person to person, though it can be worth noticing whether a broad preference comes from stereotypes or negative feelings about your own identity.
You don’t owe anyone attraction, and you don’t have to make yourself date people from any particular group. People’s tastes and dating patterns vary, including within their own racial or cultural communities.
At the same time, if it feels like a firm rule that no one of your race could ever be attractive, it may be useful to ask where that rule came from. Ideas about beauty, status, and race can get absorbed from the world around you, and sometimes a preference is tangled up with stereotypes or how you feel about your own background. That’s something to reflect on, not a reason to shame yourself.