Question: Do I Have to Pay Interest on a Closed Credit Card?
Answer:
Yes. You will continue to be charged interest on a credit card balance, whether it’s open or closed, until the balance has been completely repaid.
The only thing that really changes when you close a credit card is your ability to make new purchases on the card. Closing the credit card doesn't stop the interest from accruing. You're still responsible for making at least the minimum payment by the due date until the balance is paid in full.

