Preheat the oven to 350 degrees Fahrenheit and grease and flour an 8 x 4 inch loaf pan. Set aside.
Whisk together the flour, salt, baking powder, and baking soda in a large mixing bowl.
In a separate bowl, whisk together the sugar, lemon zest, eggs, oil and lemon juice until smooth. Gradually stir in the dry ingredients until combined. Next, fold the zucchini into the batter.
Pour the batter into the prepared loaf pan and bake for 45-50 minutes, or until a toothpick inserted in the center comes out clean. Cool for 10 minutes, then turn out onto a wire rack and cool completely.
Make the Glaze:
In a small bowl, whisk the powdered sugar with the lemon juice until smooth. Drizzle over the bread. Slice and serve.
Notes
If the shredded zucchini seems too wet, place the zucchini in a cheese cloth or in a few sheets of paper towel and squeeze out some of the extra moisture.