It's important to live your life, and not to allow your parents' racism and intolerance keep you from being happy. Parents can sometimes be overprotective, so they may try to discourage an interracial relationship because they are worried your future life will be difficult. Other times they are simply racist. If your parents are being too protective, or maybe thinking that you are infatuated with an older, quite glamorous man, then if you behave maturely and sensible, they will get used to the idea. If it's really a race thing, you may just have to decide that theire opinions are not something you should be bothered about.
I have a friend who is from the deep south. He's a lawyer, and met and fell in love with another lawyer. She was from canada, although her parents came from india. His parents refused to accept the relationship. Eventually he just said, tough -- this is the person I want to be with, who makes me happy. They got married. His parents refused to attend the wedding. They have a baby now, and although his mother has begun to accept things, his father still refuses to acknowledge his wife.
The question is -- are those attitudes worth respecting? If you give in to them, giving up love and principles, they will keep thinking they are right.
Be strong and good luck.