Preheat the oven to 180C/Gas 4/350F. Spray or grease your bundt tin and set aside.
Grate the courgette by hand or in a food processor with the grate attachment. Lay courgette on a clean tea towel and sprinkle with salt. Leave for 10-15 minutes to drain whilst you get on making the rest of the cake.
In a large mixing bowl add all the dry ingredients for the cake and stir to combine.
In a smaller bowl whisk together the eggs, vanilla, and oil. Then add this to the dry ingredients and mix well. Fold in the grated courgette.
Pour the batter into your greased bundt tin and bake in your preheated oven for 35-40 minutes or until a sleet or knife inserted comes out clean. Let it cool completely before frosting.