Driver’s license issuance/renewal is exclusively reserved for individual states to determine their standards. You should first look at your state’s driver’s licensing agency website for their requirements. Most states’ website provides detailed information regarding how to acquire/renew your driver’s license.
If the website is not clear as to what documents are required for non-immigrant residents, call the state agency and specifically ask whether your timely filed Receipt Notice (Form I-797C) is acceptable. Most states will accept certain receipt notices along with your most recent approval notice, and other documentation of your place of residence and identity, to issue/renew your driver’s license.
It would be best to contact the main state agency office before visiting your local agency office, as sometimes the local agency office is not fully aware of the state laws/regulations regarding non-immigrants; that way if you receive resistant when you go to the local agency, you will be armed with the correct documentation and knowledge. Do not be reticent to ask to speak to a supervisor if the local agency representative does not renew or issue you a driver’s license based on a reason that is contrary to your state laws.
When you visit the local agency take at least the following documents in addition to the documents required by your state driver license agency
You can visit https://www.usa.gov/motor-vehicle-services for one stop location for all states’ motor vehicle services.