Hello and welcome to JustAnswer. Please note: This is general information for educational purposes only and is not legal advice. No specific course of action is proposed herein, and no attorney-client relationship or privilege is formed by speaking to an expert on this site. You may also be offered a phone call, but those don’t come from me and are offered by the website and you are under no obligation to accept.
It is not required for a foreign divorce decree (Iran, or otherwise) to be registered with the state or the court, unless one or both of the following is true:
1) You wish to contest the divorce, arguing that it was not proper and had no comity/equity, and thus should be set aside and not recognized by USA; and/or
2) You wish to enforce the divorce decree in some way, such as division of property and/or alimony, etc.
"I STRIVE FOR FIVE!" My goal is to answer your question to your satisfaction. Please rate with five stars (★★★★★) and click SEND. It does not cost anything extra to rate. You may need to scroll left/right/up/down to see these stars. Rating my answer the bottom two stars or failing to submit the rating reflects poorly on me, even if my answer is correct. If you are not satisfied for whatever reason, or, have follow up questions, please simply reply with SEND before or after rating and let's continue to chat until you are satisfied. This is what I am here for.