Cut the zucchini into about 1/2 cm slices. In a bowl, combine the pancake batter ingredients: pour in the flour, add baking powder and salt. Add the egg and, pouring in a little milk at a time, vigorously whisk the ingredients together until you get a smooth batter. Finally, add oregano if you're using it.
Heat a large pan with 2 tablespoons of butter or fat. Put the zucchini slices into the batter in batches and dip them in the batter. Place on the pan and fry over medium heat to a golden color for about 1 - 2 minutes on each side.
Transfer to paper towels or directly onto a plate. If needed, add more fat when frying the next batch of zucchini.