If you are a Green Card holder, you have permanent residence in the US, which means you have no travel restrictions. However, you should take into consideration:
Your physical presence and continuous residence requirements
The need to attend three appointments during the naturalization process: the biometrics appointment, the naturalization interview and the oath ceremony
To decrease the risk of your naturalization application being denied due to ignoring appointment notices or the need to reschedule appointments, consult an experienced immigration attorney to help you through the process.