Grind zucchini in a food processor or grate it manually. Blot it with kitchen towels as much as possible. Once the towels get very wet replace them with another set and blot as much as possible.
Now, in a blender combined milk, drained dates, banana, vanilla extract. Blend it smooth.
With the help of a cookie scoop place the cookies on the prepared cookie sheet with ¼ inch gap between each to allow them to spread and shape them.