He admitted, however, that the fact Nascar driver and American Patrick will be 34 by 2016 could be an issue.
"The question was about the dream driver!" Haas - who already runs Patrick in his Nascar team Stewart-Haas - told F1's official website.
"But she surely fits the bill."
Patrick told the Toronto Sun: "I agree that anything is possible, but nobody has said anything to me. I am happy where I am at right now as far as racing goes.
"I am just starting to get the hang of (Nascar) sprint cup racing.
"Out of respect for Gene, if he came to me I would certainly listen, but I am almost getting too old to start a third career," she added.