I suggest you refer your employer to page 8 of the Connecticut Employers Tax Guide, where they will find the following statement:
"Generally, wages of a nonresident are not subject to Connecticut income tax withholding if the wages are paid for services performed entirely outside of Connecticut."
https://portal.ct.gov/-/media/DRS/Publications/pubsip/2021/IP-2021-1.pdf
**Answers are correct to the best of my ability but do not constitute tax or legal advice.
