Amex will refund the annual fee if you cancel it within 30 days of the closing date of the billing statement on which the fee appears.
Okay, thanks for that clarification. So, then, to the original poster: In order to both (A) get your return protection claim processed and approved and (B) not have to pay the annual fee on the card you'd like to cancel, you'd basically have to file your return protection claim no later than the closing date on the bill on which the annual fee appeared. That would give you about seven days for them to send you the documents to fill out, and, assuming that you filled out the documents and submitted them ASAP, another 14-15 days for them to review your documents and approve the claim, and you'd still have about seven days left to cancel the card before your 30 days were up (remember, this is all based on the current trend of them taking about five to seven days from the time you submit your claim until they send you the documents to fill out, and then them taking 14-15 days from the time you submit the documents until you get their decision letter). Otherwise, if it's too late and you're already well past the closing date on that bill with the annual fee, then the only thing you can do is to submit the return protection claim, cancel the card before your 30 days are up, and hope that, like another poster said, they might still approve the claim. Based on the T&C though, I would assume that if you did that, you'd get a denial letter stating that it can't be approved since the T&C state that in order to use Return Protection or any other benefit, your card needs to be open and in good standing. But, of course, if you have no other choice, you don't lose anything by trying. Another issue of course is the amount of the annual fee vs. the amount of the item you want to return. If the item is $300 and the annual fee is $95, then it's obviously more valuable to pay the annual fee and get $300 back. But if the annual fee is $595, then your priority is not paying that large fee, and getting the smaller return protection claim approved is just an afterthought. Good luck, though, and let us know how it turns out!