Resident aliens are eligible to receive the third stimulus payment, also known as the plus-up payment. However, you need a valid Social Security number, not an ITIN.
The IRS says:
You aren’t eligible for a payment if any of the following apply:
- You could be claimed as a dependent on another taxpayer’s 2020 tax return
- You’re a nonresident alien.
- You don’t have a valid SSN issued to you by the due date of your tax return (including an extension to October 15 if you request it).
See: Who’s eligible for the third Economic Impact Payment (updated March 30, 2021).