Thanks for joining the Community. I'd be glad to assist you with changing the credit card information that's used to pay the annual payroll fee.
When a user encounters unexpected behavior with Intuit Online Payroll, such as unresponsive buttons, it's generally recommended to try browser troubleshooting. One option is to clear your browser's cache, which is stored to speed up loading times, but too much can be stored and impede processes. You can find additional information about that, including steps for how to perform this at the following link: Delete Or Disable Cache And Temporary Internet Files In Your Web Browser.
Another option that you may wish to consider is trying an alternative browser to update your credit card information. This can help to isolate the behavior and better determine if it's browser related.
I believe that this information will help to get you on the right track.
Please feel free to let me know how it goes, or if you need anything else, by posting a comment below. Wishing you a wonderful start to the new year.