Preheat oven to 350F. Lightly spray mini muffin tins.
Place the shredded zucchini in a cheese cloth and wring out all the water. You should get at least 1/4-1/2 cup of zucchini ‘juice’. In a bowl place all of the ingredients (minus the 1 cup cheese slices and crab) and mix until combined. Gently fold in the crab. Fill each muffin tin almost to the top.
Bake for 9-12 minutes until the tops are lightly golden brown and puffed up. Remove from oven and turn it to broil. Add a cheese slice on top of each puffy cake. Broil for a minute or just until the cheese begins to melt. Remove from oven and take a thin blade and go around the puffy cake to loosen.
Allow to cool in the tins for 2-3 minutes. Gently remove from the tins and cool on a cooling rack.