You said American. You were ambiguous. Trump falls under your loose definition. I believe that was purposeful to project bias at Cruz.
American is a common term used for Citizen of the United States of America. Both of Donald Trump’s parents were Citizens of the United States when he was born. That makes Donald Trump a natural born citizen as was commonly understood when the Constitution of the United States of America was written.
The clause: or a Citizen of the United States, at the time of the Adoption of this Constitution was added to the Constitution because none of the founding Fathers had parents who were Citizens of the United States of America.