Traditionally, AmEx will send you a replacement credit card via overnight, but an insider tells us that as a cost-saving move, they’ve been trying to cut back on this. If you have low-balance, low-usage or are not an annual fee payer, they might not offer the overnight right off the bat, or may even deny it. Our tipster says there are some key phrases you can use to make sure you get your card lickity-split: