Prepare your matcha by whisking together matcha powder and hot water until no clumps remain. This will help to rid of any clumps in your drink once blended.
In a high power blender, add ice cubes, frozen zucchini (if using), non-dairy milk, whisked matcha, vanilla and sweetener of choice. Blend until chunks are broken down and you are left with an even texture. If you'd like to thin out your drink, you can add additional non-dairy milk to blend. I recommend using a tamper to help break down any finicky ice chunks.
Taste and adjust by adding additional sweetener if desired. Serve with vegan whipped rice cream or coconut cream.