Hello aspiant,
You cannot hold american citizenship just by stydying there.
Here, below are a the ways in which you cah earn permanent citizenship/ residency.
Obtain agreen card.Before you can become a naturalized citizen, you need to become a legal permanent resident.
If your family member is a U.S. citizen, then they can sponsor their spouse, unmarried children under twenty-one years of age, and parents.
Green card through your job. If you have an offer of permanent employment, you are eligible to petition to get a green card.
Green card as a refugee or asylum seeker.
You need to live in the United States for a certain amount of time before you apply for naturalization. Check that you satisfy the following:[5]

You must have been lawfully admitted into the U.S.

You must demonstrate continuous residence in the U.S. for at least five years immediately before you file for naturalization. For example, if you want to apply in January 2018, you must have been a resident since January 2013.

You must have been physically present in the U.S. for at least thirty months during those five years.

You must prove you have lived for at least three months in the state or USCIS district where you apply.
You must be at least eighteen years old when you file your application to become naturalized.

You should be able to speak, write, and read in English. You will have to pass an exam to demonstrate your proficiency in the language.

You must be a person of good moral character. Essentially, this means you are an upstanding member of society who works, pays their taxes, and doesnt break the law.
Submit your naturalization application.
Prepare for your tests.Youll attend an interview, where a USCIS officer will question you about your background and application. You will also take your English and civics test at the interview. You should prepare for the tests carefully.
Swear an oath.The final step is to swear the Oath of Allegiance.
Obtain agreen cardthrough your spouse.
Become a citizen by adoption.

All the best.

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