I am an Indian student on an F-1 visa with full time CPT. My school is in New York, I work in Pittsburgh, PA as a consultant and my employer is in New Jersey. I have been in the US for less than 5 years

I have lived and worked in Pittsburgh since September 2007.

I am a little confused regarding my state and local taxes

My employer has withheld my NJ taxes. Do I need to file PA state taxes as a non-resident even though my source of income is really NJ? (since I am a consultant)

Do I also need to file Pittsburgh city tax as a non-resident?

Also, how do I claim my NJ taxes back, I understand I get a full refund. My employer has also withheld the NJ UI/HC/WF and NJ DI. What additional schedules do I have to file in addition to the NJ 1040NR to get a full refund?

Any help will be appreciated.

Thank you.

If you did not live in NJ and did not work in NJ, then you do not pay any tax to NJ. Since your employer withheld NJ taxes, you will file NJ tax return to claim refund of all the taxes held. It is better that you attach letter from employer that you did not work in NJ.
Also ask your employer not to withhold NJ taxes.

You will PA tax as part year resident and pay taxes to PA for the income earned in PA.

Thank you for your help.

But, when I called the PA state tax helpline they asked me to file as a non-resident since I am an international student here with no plans to live in this country or PA state. After completing my education.

But my question now is since I am a non-resident of PA and my source of income/employer is in NJ. Do I still file PA state or Pittsburgh city tax?

Thanks.