The ultimate step in becoming a US citizen is taking the oath of Allegiance. If you have already appeared in your interview for naturalization, you will remain a permanent resident until you get your naturalization certificate. You can go abroad as a permanent resident of the US at a time when your application for citizenship is in process.
When going abroad, you must keep a number of important things in mind. First off, you must consider the requirements for the continuous residence and physical presence. You should travel abroad only if you already fulfill those requirements and do not prolong your foreign trip.
Applicants who have not opted for email or text notifications must tell a relative or friend in the US to keep eye on the mail and let you know if there is any message for appointments. Be sure not to miss the appointments for biometrics and interview. In case you miss an appointment, it will cause a delay in processing your application.
While not obligatory, applicants are advised to stay in the US until their biometrics appointment is done. Fortunately, some USCIS service centers allow walk-ins, meaning you can go to the center and have your biometrics taken any time before flying abroad.
If you have not yet taken the oath of allegiance, you can travel abroad as a green card holder; however, you must return to the US with a valid green card. Once you take the oath of allegiance, you will have to surrender your green card immediately.
It is a judicious decision to stay in the US all through the naturalization process, so there are no delays. In case going abroad is inevitable, you must return to the US for your biometric and interview appointments.
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