Please consult with an attorney to discuss the specifics of your case. Yes, your husband can tell immigration anything he'd like. However, you must protect your rights and if you entered into the marriage in good faith and the marriage was bona fide when you married, you can apply for a waiver of the requirement that your husband file the I-751 with you. Your question is very case specific. It is imperative you consult with an immigration attorney to protect your legal status in the United States.
Attorney Heflin is correct here. You really need to consult an experienced immigration attorney near you as soon as possible to explore options to preserve your rights and to attempt to maintain your permanent resident status.
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I agree with my colleagues that he can tell or write to the USCIS what he likes. It is what he says/ writes, which may/ may not affect your joint application. If you know you are expecting trouble, you should retain a Counsel.
This response is general in nature and cannot be construed as legal advice, given that not enough facts are known. Any comments offered on Avvo are of a general nature only, and are not meant to create an attorney-client relationship. If you would like additional information based on this response, please contact my office at 510 657 7665 or 415 902 0832 to schedule a consultation.