The United States allows dual citizenship. It does not require you to give up your previous citizenship to naturalize, and taking the Oath of Allegiance does not, by itself, make the U.S. treat your other citizenship as lost. Whether you actually keep it depends on the laws of your country of origin, described below.
Generally allows dual citizenship
It depends on your situation
Generally does not allow dual citizenship
This is general information, not legal advice, and is not affiliated with USCIS or any government. Citizenship laws change, so always confirm with your country's consulate before you decide.