You would have to wait until you became a US citizen in order to sponsor your parents for permanent residence. If your parents are overseas at the time that you become a citizen, you can submit I-130 relative petition forms to U.S.C.I.S., and when they are approved by the agency, begin consular processing with the National Visa Center and later with the American Embassy or Consul in the foreign country. If your parents are in the States at the time that you become a citizen, and if they are able to adjust status without going out, e.g. having entered on a legal visa status, you and they would submit both I-130 and I-485 adjustment of status applications at the same time to the agency.
In order to file the I-130 Petition for Alien Relative on behalf of each of your parents, you will need to first apply for and be naturalized to a US Citizen. After that, you will file the I-130 for each parent. Upon approval, the case will be sent to the National Visa Center for consular processing.
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