You can basically signup for as many american express cards at once

American express is an odd one since they basically allow you to apply for as many credit cards as once as you want with no problems unlike the other ones like chase or citi where you have to wait a specified amount of time. Note this does not apply to you if you got declined then you must wait for 90 days. Amex will approve the 2nd card after you activate the first one and same with the 3rd card so don’t panic! you can do. Amex is one of the easiest ones to get approved for a business card under your own name so take advantage of the current offers which are going around on the web.