Preheat oven to 350 degrees F. Grease the bottom and 1/2 inch up the sides of an 8x4x2-inch loaf pan; set aside. In a large bowl stir together flour, flax seed meal, baking powder, apple pie spice, and salt. Make a well in the center of flour mixture; set aside.
In a medium bowl beat egg whites with a fork. Stir in zucchini, sugar, oil, and orange peel. Add zucchini mixture all at once to flour mixture; stir just until moistened (batter should be lumpy). Fold in dried cranberries. Spoon batter into prepared loaf pan.
Bake for 50 to 55 minutes or until a toothpick inserted near center comes out clean. Cool in pan on a wire rack for 10 minutes. Remove bread from pan. Cool on wire rack. Wrap and store overnight before slicing.