My name is John and I'm a Guru here at Shopify!
You can indeed take payments internationally using Shopify Payments as your credit card gateway.
If you select to use this on your site it would be integrated to your checkout meaning it is super straightforward for your customers to pay by card from wherever they are in the world.
Check out the guide doc linked above for more info on Shopify Payments and get in touch with us via support channels if you need further assistance with getting this up and running on your store. :)
Hello, i have a similar question. i'm an international merchant, i want to accept credit cards but i'm unable to do so becuase i dont have a SSN or so. I'm not from the US etc. However, i do have paypal set up but i'm afraid i will miss out on the sales of those who dont have an account with paypal. what other international third party gate way shopify has to fascilitate people like us? cause i'm honestly thinking to just go Magento where its much more controlable