You can sue anyone for anything, the questions are whether you have a legal right that has been infringed upon, whether you can prove this and can you recover damages. It appears that the police are only repeating what others have said. We have freedom of speech so you have to show that not only did they say it, but also there was an intent to harm. Finally you have to prove actual damages flowed from that statement. In your case, this sounds unlikely. If you think you can, then find a local lawyer to discuss the case with.
I agree it may be vey difficult to find an Attorney on these facts alone. Especially if the police are being informed of this by other people.
My name is Stephen R. Cohen and have practiced 39+ yrs. I can be reached at 213-819-1171. I practicein Los Angeles and Orange County, CA. I give only appointments over the phone., these services do not create an attorney client relationship. My answers may offend as I do not believe in pulling punches or sugar coating the truth, I use common sense as well as the law. Other state's laws may differ and I would appreciate it if you feel like marking my answers helpful or best. There are a lot of really good attorneys on this site, I will do limited appearances which are court documents , less expensive.
Also, defamation lawyers typically want a 5k retainer just to begin work, and without significant damages, the costs can exceed a recovery.
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