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While saying repeatedly she did not want to talk about the election campaign -- "I don't do politics" -- and also reiterating her lack of interest in the vice presidential slot, Rice said the United States had a hard time dealing with racial issues.
"There is a paradox for this country and a contradiction of this country and we still haven't resolved it," she said in a detailed reply to questions about Obama and race issues as a whole before next week's 40th anniversary of the slaying of civil rights leader Marin Luther King.
"But what I would like understood as a black American is that black Americans loved and had faith in this country even when this country didn't love and have faith in them, and that's our legacy."
Rice said her own father, grandmother and great-grandmother had endured "terrible humiliations" growing up in the segregated south and yet they still loved America.
While many blacks called themselves African American, Rice said they should not be looked at as immigrants.
"We don't mimic the immigrant story. Where this conversation has got to go is that black Americans and white Americans founded this country together and I think we've always wanted the same thing," she said.
Later on Friday, when asked what Americans had learned about race since the civil rights movement, Rice told reporters: "You have to work hard every day to make the extraordinary, moving and inspirational words of our founding documents a reality for all Americans."