Preheat the oven to (350°F) = 176°C) degrees. Grease a 9-inch by 13-inch cake pan.
Cream the sugar and egg. Add the oil.
Combine all dry ingredients with the sugar and the egg mixture. Beat well.
Be sure to squeeze the liquid out of your fresh grated/shredded zucchini before adding it to your mixing bowl.
Add Zucchini, coconut, and nuts. Mix until even smooth.
Spread evenly into the cake pan.
Bake at (350°F) = 176°C) degrees for 1 hour to 1 1/2 hours. June's recipe said one hour at 300 degrees, but mine took 1-1/2 hours. Please use the toothpick test. If the toothpick comes out clean, it's done.
If the toothpick comes out clean, it's done. Frost with cream cheese icing while warm. Please store it in the refrigerator.
Combine the frosting ingredients and beat with a mixer until smooth and creamy. Spread over the cake while it's warm. Store in the refrigerator.