In 2010, I made the mistake of my life. I have stolen $4000. I wasn't in jail. I posted bail. Then I had to go through an advocate program and pay the money back and write a letter. I now, 6 years later, want to become a US citizen.
It will depend on exactly what charges were filed against you and how they were disposed of in court. I suggest that you contact an experienced immigration attorney for a face-to-face consultation and give him/her all of the facts surrounding your case. (S)he would then be in a better position to analyze your case and advise you of your options. You should bring any documentation you have pertaining to your criminal case for the attorney to review.
Wait another 4 years. Your application will likely be denied because you have to show "good moral character" for 10 years; and your record is not compatible with "good moral character". Worse, if you file a naturalization application, it will bring your case to the attention of the immigration authorities. Theft of $4000 is an offense for which the immigration law prescribes deportation. It does not matter that you were not sentenced to jail; the fact that you admitted the theft is enough. When the time comes to renew your green card, don't file it yourself - talk to an immigration attorney.
More information is needed. When did you become a lawful permanent resident greencard holder? When were you first admitted into the U. S.? What theft law in what State did you violate that resulted in a guilty plea? How old were you if/when one of your parent's naturalized? How old are you, now? A competent and experienced immigration attorney will want to know the above facts and may also need to review a copy of the criminal complaint and conviction order. Otherwise, it will be unlikely that helpful and reasonable legal advice can be provided. As a result, I strongly recommend an appointment with a competent and experienced immigration attorney, who will take the time to review all of the facts and provide legal advice. This will allow you to make the best decision about whether to file for citizenship or naturalization.
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