Preheat oven to 350°F. Grease and flour a 8x4 in. loaf pan. You can also use parchment paper to help the bread from sticking.
In a large bowl, whisk together flour, salt, baking powder, and baking soda.
In another bowl, combine sugar and lemon zest and stir.
Add eggs, oil, and lemon juice and stir until smooth.
Stir in the dry ingredients until well combined.
Fold the zucchini into the batter and pour the batter into the prepared loaf pan.
Bake for 45-50 minutes, or until a toothpick inserted in the center comes out clean.
Let the bread rest in the pan for 10 minutes before removing the loaf onto a wire cooling rack. Cool completely.
While the bread is cooling, make the glaze by combining the powdered sugar and lemon juice in a small bowl and mix until smooth.
Drizzle the glaze over the bread and enjoy!