This is very much false, and can be easily refuted by reading what the lawmakers were saying as the law was being passed. For example, here's from the DoJ's memorandum, as quoted on the Senate floor by Senator Clark:
> "Finally, it has been asserted that title VII would impose a requirement for 'racial balance.' This is incorrect. There is no provision . . . in title VII .. .that requires or authorizes any Federal agency or Federal court to require preferential treatment for any individual or any group for the purpose of achieving racial balance. . . . No employer is required to maintain any ratio of Negroes to whites .... On the contrary, any deliberate attempt to maintain a given balance would almost certainly run afoul of title VII because it would involve a failure or refusal to hire some individual because of his race, color, religion, sex, or national origin. What title VII seeks to accomplish, what the civil rights bill seeks to accomplish is equal treatment for all."
This explicitly says that you cannot have a racial quota, because it would be against Title VII of the proposed Civil Rights Act, meaning that the lawmakers proposing the bill explicitly said that the Title VII will protect whites (and all other races) as well as blacks.