That's not true. When you're naturalized, you renounce any allegiance to foreign powers and potentates.However, if the country of which you were previously a citizen doesn't consider this a renunciation, you remain a citizen of that country. I'm a naturalized American citizen, but as far as the Irish goverment is concerned I'm still Irish, and if for some reason I wanted to invoke my Irish citizenship, they'd recognize it.
We folks have got to stick together seeing there is so much misinformation out there.
I stand corrected. The U.S. wants one to be solely American, but we really have no control about what other countries do.