No, don't
hide where you've come from in a back pocket, carry it with you when you're sworn in.
With no malice, though, I have questions; which flag holds your alliegence? Or will they both?
You of course do not have to answer that, I'm merely curious. You see, I ask because I'm the chairperson, (advocate is a better word for it), for one of the Five Pillars of the American Legion called the Americanism program.
I meet with groups of people and individuals to explain what the differences and similarities of Americanism, Patriotism, and a list of other "isms" really mean when kept in the context of the Constitution. Locally, I do things like help immigrants fill out their papers, find ESL classes, help them with their first voting experience, and find other tutors/ programs that help them in the transition of becoming a US citizen.
It's amazing to meet these folks and hear their story of why they want to be a citizen of the US and ask if they plan to apply for dual citizenship or are they cutting the cord completely with their home country. (Some have horrific stories of life before arriving in the US.)