As an international student who has completed their studies in the United States, you may be eligible to apply for permanent residency, although this will depend on various factors and circumstances specific to your situation.

One potential pathway to apply for permanent residency is through employment-based sponsorship by a US employer, which would require the employer to file a petition with the US Citizenship and Immigration Services (USCIS) on your behalf.

Other potential pathways to apply for permanent residency include:

• Family-based sponsorship by a US citizen or lawful permanent resident relative
• Obtaining refugee or asylee status if you meet the relevant legal requirements

However, it is important to note that obtaining permanent residency can be a complex and lengthy process that requires careful consideration of various legal requirements and potential obstacles.

It is recommended that you speak with a licensed immigration attorney who can advise you on the most appropriate and viable options for your specific circumstances, as well as any potential limitations or exceptions that may apply. An attorney can also help you prepare and submit your application for permanent residency, and provide support throughout the entire process to ensure the best possible outcome.

Additionally, the USCIS website provides detailed information on the various pathways and requirements for obtaining permanent residency, and can be a helpful resource when considering your options.