Dice strawberries and place in a large bowl with 1 tablespoon of white sugar. Mix and let rest for at least 30 minutes.
Preheat the oven to 325. Grease a 9x5 loaf pan and line with parchment paper.
In a medium bowl, combine the flour, salt, baking powder, baking soda, cinnamon, and cardamon and whisk. Set aside.
Once the strawberries have become soft and juicy (but not mushy), add the eggs and sugars to the macerated strawberries. Use a whisk to mix well. Then add the oil, vanilla extract, and zucchini, using a spatula to stir to combine.
Add the dry ingredients to liquid ingredients and mix until just combined. Pour the batter into the prepared pan. Bake for 60 to 65 minutes, or until a cake tester comes out clean. Let cool for about 10 minutes in the pan, then remove from the pan and allow to cool completely. Slice and serve.