A lot of them do because many Black guys want White women instead of them. In fact, these Black women will even express hostility even toward Whites they like, though at a less severe level.
So in the movie Save the Last Dance, the part where the Black teen hates the new White teen coming to the Chicago school is very realistic.
There are other reasons for them to hate Whites. A lot of Blacks run into racist Whites, and they also experience painful job discrimination in White areas.