You can place it by going into your inventory ("I" key) and then going into "Miscellaneous" to finally click "Wooden Board" and press the "E" key to place it. A transparent barrier will appear so you can decide in what direction you want the barrier to be and once you choose where, you can press left click to place it. Placing the barrier will take approximatively 5 seconds so be sure to kill the zombies close before doing this, as if you cancel the action, the wooden board will be lost.