Just to confirm, did you change your card or your Payoneer account? If you just received a new card, there's no need to update anything as the funds are withdrawn to your account.
If you have changed your Payoneer account, you should first contact Payoneer customer support and have them unlink your Payoneer account from Upwork. Then Upwork team will be able to remove Payoneer from your payment methods. Thank you.