1. Pay off all outstanding dues before initiating the closure process.
2. Redeem any reward points or cashback you have earned.
3. Call the customer service number on the back of your card or on the American Express website.
4. Verify your identity and share details of the credit card you wish to close.
5. Request for the credit card closure and follow the process provided by the customer care representative.
6. Cut up the credit card or return it to American Express, if requested.
7. Check your credit report after the closure process to ensure it has been updated.
8. Consider other options, such as transferring your balance or switching to a different card.
9. Keep records of all communication and the closure process for future reference.
10. Verify that the credit card has been closed successfully and there are no pending charges or transactions.