The AliDropship plugin for WooCommerce allows you to import products from AliExpress and then ship them out. It can be used with WooCommerce or as a standalone WordPress eCommerce store.
By using the Chrome extension, you can import products from AliExpress and manage them just like any other WooCommerce product. Also, AliExpress makes it easy to fill orders. You only have to click the button to pay, and AliDropship fills in all the details for you.