Drop shipping merchandise from Aliexpress is pretty easy and just as simple as drop shipping merchandise from other companies as well.
To dropship merchandise from Aliexpress all you do is list the items for sale on your website or other online store.
Then when someone makes the purchase from you through your online store you then pay for the merchandise through Aliexpress and then enter your customers name and address for the merchandise to be shipped too.
So in short enter your customer's name and shipping address on Aliexpress and place the order after you take the customers order from your website.
Then Aliexpress will ship the merchandise directly to your customer.