Preheat oven to 350°F (180°C). Line two cookie sheets with parchment paper and lightly oil with coconut oil. Set aside.
Place the egg whites and erythritol in a mixing bowl, and using a hand mixer, beat egg whites until a stiff peak forms. You can add 1/4 teaspoon cream of tartar or a pinch of salt to help the egg white firm up.
When the egg whites are firm (when you can turn the bowl upside-down and the egg whites don't fall), use a silicone spatula to gently fold in the shredded coconut and vanilla into the fluffy egg whites mixture.
The batter should be quite dense, saturated by the amount of coconut but still easy to shape into balls if pressed into a cookie scoop. If too liquid (too much egg whites), add an extra 1/2 cup of shredded coconut.
Use a cookie dough scoop to scoop out the batter, then pack it firmly in the scoop to form a coconut ball that holds well together.
Now, scoop out the batter onto the cookie sheet, don't flatten the macaroons, and repeat the steps above, leaving half a thumb of space between each macaroon.
You should make 24 macaroons with the batter. Bake them on two cookie sheets separately at 350°F (180°C) for 10 minutes, one batch at a time, leaving the extra cookie sheet on the kitchen benchtop while the first one is baking.