Some Georgia residents may currently be in the process of applying to become a United States citizen. Aside from individuals born in American Samoa or Swains Island to non-U.S. citizen parents, any individual who wishes to become a U.S. national must also be a U.S. citizen. According to the definition provided in the Immigration and Nationality Act, nationals of the U.S. are those who owe permanent allegiance to the country. Even if individuals maintain dual nationality, they still are governed by the laws of the U.S.
Some countries do not allow their citizens to hold dual nationality. While the U.S. may allow citizens of other countries to obtain U.S. citizenship, the government does not encourage holding dual nationality as a matter of policy. Holding dual nationality may cause problems if the laws of the U.S. conflict with the laws of the other country where the U.S. citizen is also a national. Dual citizens will be required to obey the laws of both countries in which they are nationals, but the U.S. government may have a harder time protecting the rights of these dual citizens abroad, as the citizen's other country may have a stronger assertion over that person's duty to the country.
Dual citizens are generally required to use their U.S. passport to enter and exit the U.S., but they may also be required to use their foreign passport in their other country of citizenship. While use of a foreign passport does not threaten the status of a person's U.S. nationality, a U.S. national who voluntarily applies to become a national of another country, by free choice and with the intention of renouncing the U.S. nationality, will lose that status.
Individuals from foreign countries who want to become U.S. citizens while still maintaining their foreign nationality may obtain more information from the embassies and consulates of the two countries. Foreign nationals may also want to speak with an immigration attorney for assistance.
Source: U.S. Department of State, "Dual Nationality", November 19, 2014