Heat your oven to 425 degrees.
Use either a grater or a food processor to shred your zucchini. You want 2 ½ cups of shredded zucchini.
Place the shredded zucchini on cheesecloth or a clean kitchen towel.
Gather the fabric around the zucchini, and twist the zucchini pushing the water out of the zucchini. You want to get about ½ cup of liquid out of the zucchini. Discard the excess liquid.
Pour the zucchini into a bowl and add the egg, gluten free flour, Parmesan, and oregano. Either finely chop the garlic or run it though a garlic press, and add it to the bowl.
Stir everything together with a fork until everything is evenly mixed. The "dough" should be moist but not sticky. Add additional gluten free flour if necessary.
Pour the "dough" out onto a parchment lined baking sheet and spread it out into a 10 inch circle with even thickness.
Bake the zucchini pizza crust at 425 degrees for 20 minutes, placing it on the lowest rack of your oven. You want the crust to be slightly browned.
Add your pizza toppings. I added about ⅓ cup of tomato sauce and 1 cup of shredded fresh mozzarella.
Melt the butter and then brush any exposed crust with the butter. This is optional.
Bake the pizza for 12-15 minutes on an upper rack of the oven, until the cheese is lightly browned.
Top with the basil and serve right away.