Still, Marchionne says Fiat will likely exercise its right to buy another 3 percent of Chrysler from the United Auto Workers VEBA Trust when the opportunity comes next month. That move would mean Fiat owns more than 61 percent of Chrysler.

Don't expect a Chrysler IPO this year. When asked about the chances of taking Chrysler public in the near future, Marchionne laughed and said, "No! Especially after what happened last week." It's clear that when Marchionne does oversee a Chrysler public stock offering, he wants it to go much smoother than the Facebook IPO.

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