You are eligible to apply for naturalization once you have been a lawful permanent resident for five years. You may be able to count time during which you were in asylee status if your residence since was not backdated. It appears you card has already been backdated but I cannot be sure without knowing more about when you filed for residence and when you received your green card. You can read more about naturalization at http://myattorneyusa.com/how-to-get-naturalized-in-the-united-states.
Answered on May 25th, 2016 at 4:10 AM