In order to change the credit card for a company's AnyPerk account, you must be set as an admin of that account. (To become an admin, simply reach out to your account manager).
Once you're an admin, you will have access to an "Admin" tab in your own personal account. From there, go to "Company Info" and click "Edit Billing Information" (see attached image). You can input a new credit card here.
Click here for an instruction video!