When employers attempt to hire an international applicant they are required to confirm that this person is eligible to work in the united states. E-Verify is a online system that the Department of Homeland Security uses to help both employers and employees prove eligibility. For student oriented resources go to https://www.e-verify.gov/employees/mye-verify and explore myE-Verify. Uses this tool you can update your documents and confirm your eligibility to work in the US.
You can also use E-Verify to confirm that an employer has the ability to hire an international student here https://www.e-verify.gov/about-e-verify/e-verify-data/how-to-find-participating-employers
Feel free to use ASCC Career Coaching to ask more questions about how to get ready for applying to jobs!