Would you like your buyers' identities to remain anonymous? When you create a private listing, a buyer's User ID will not appear in the listing or in the listing's bid history.
When to Use a Private Listing
While there are some cases where private listings are appropriate, such as the sale of high-priced ticket items or approved pharmaceutical products, you should only make your listing private for a specific reason.
How to create a Private Listing
To create a private listing, select the “Private listing” check box in the Choose how you’d like to sell your item section of the Sell Your Item form..
Can't find this option?
Click the "Add/remove options" link within the same section. In the window that appears, select "Private listing", then click the Save button.