You cannot permanently delete an order from Amazon order history
You can archive an order to hide it from your main order list
Sign in to your Amazon account
Go to Your Orders
Find the order you want to hide
Select Archive order
Confirm the action
To view archived orders, go to Archived Orders in Your Account
To unarchive an order, open Archived Orders and select Unarchive order
If you want to remove payment or browsing traces, delete related browsing history or payment methods separately