Okay, but that's not identifying yourself as a US citizen and also does not make saying that you are "American" incorrect.
Again, "In some expressions, it retains this Pan-American sense, but its usage has evolved over time and, for various historical reasons, the word came to denote people or things specifically from the United States of America."
But I realize you're just not acknowledging that part of my posts.
Pretty much every country I visit when they ask your nationality, they know "American" as US American. In fact in german "Ich bin Amerikaner" is how you would say it and is known what you mean. Though I need to learn how to say "I am non-native American" in German to clarify. May get some chuckles from colleagues.