Preheat oven to 325°F (160°C). Grease and line an 8x8 inch baking pan with parchment paper.
In a large bowl, whisk together the almond flour, sweetener, cocoa powder, baking powder, espresso powder, and salt.
In a separate medium bowl, whisk the eggs, avocado oil, and vanilla extract until smooth.
Pour the wet ingredients into the dry and mix until just combined.
Gently fold in the shredded zucchini until evenly distributed.
Pour the batter into the prepared pan and spread evenly.
Bake for 25-30 minutes, or until the edges are set but the center is slightly soft.
Let the brownies cool completely in the pan on a wire rack before cutting.