Will depend on the actual felony crime you were convicted of. Should not attempt doing that by yourself.
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Were the removal (deportation) proceedings terminated? Additional information is needed to answer your question. If you were not placed in removal proceedings, there is a possibility that removal proceedings could be initiated upon applying to renew your Green Card. You should consult with an experienced Immigration Attorney.
The answer will depend the criminal conviction. It would also be important to see if you are potentially a United States citizen. You would be best advised to consult an experienced immigration attorney.
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This is a difficult issue and would definitely require the assistance of an experienced immigration attorney. Your criminal history has to be reviewed against current laws to see if you have a chance to renew your green or possibly apply for naturalization (Citizenship). It would help your case if showed you had "equities" such as good works you have done for the community and having a good job, family...
Need more information to give a really good answer. This is not something I would do on your own, it's one of the complicated analysis of immigration law. I'd get a consultation with an attorney that knows criminal and immigration law.
Law Office of Daniel M. Wigon This should not be taken as legal advice. Consult with a local attorney before making a decision that could adversely affect your rights.