In your product settings in Shopify, you can set your "Fulfillment Service" to third-party fulfillment options (for example, Amazon).
The default setting is "Manual," and Pirate Ship will only import orders where every product is set to the "Manual" fulfillment service:
How to update or change the fulfillment service for a product in Shopify
If you'd like to change the fulfillment service setting for a specific product in Shopify, here are some more instructions you can follow:
Go to All Products
Click the product you want to update
Scroll down to Inventory
Change the Inventory Managed By field by clicking the dropdown menu and selecting Shopify
Now all your Shopify orders that contain that product should be visible in Pirate Ship's import grid 🎉