WooCommerce Gift Wrap Order (Version 1.2) – offers to your Shop Customers gift wrapping for the orders in your store.
You can define as many gift wrapping styles as your prefer, set the price ,different prices or free gift wrapping .
Can be added images that show to customers what the gift wrap they can choose.
When a customer is on the cart page they see the option to add gift wrapping.
If the customer desire to have the order gift wrapped then their wrapping option is added to the cart .
The gift wrap appears in their order and after the order is placed to back-end order too .
Translation via PO/MO files.
Documentation link : HERE
How looks like on the cart page: