I think most jurisdiction in one way or another allow quotes. You should give a source and the quote (or quotes) should be only a small part of your complete text. As I said, this might vary in different jurisdictions. But if you follow the rules of your country you should still be able to claim your rights on your text and therefore make it open source.
But here's the catch. Open Source involves others can make derivates of your text. But on the quotes they would be still restricted. They cannot change the attribution from person A to person B. They also cannot change the quote. Both action would violate rights of the person who said the quote.
So you should probably point out, that your text is open source, but the quote(s) are still more restricted.