"Absolutely I would vote for her, and she knows, and I would be able to call her a friend, we've known each other a very long time, long before President Clinton ran for the first time," Norman told Tania Bryer, host of "CNBC Meets" in an interview held before Hilary Clinton announced her bid.
"I would certainly support this enormous brain, this incredibly generous heart this amazing woman were she to run for the presidency," Norman added.
Last week, Clinton put an end to months of speculation by announcing her second bid for president.
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Norman, who is known for her prima donna-like behavior, said she had considered running for Congress herself, but had ruled it out because of her candid nature.
"I considered it (running for Congress) and then I put it aside," said Norman. "I don't think that I would be successful because I would not be able to hold back on what I need to say about these things and one has to sometimes accommodate thought of the moment and I'm not sure I'd be able to do that."