Grate the zucchini in a bowl. In a separate bowl, whisk together two eggs, salt, and pepper.
Add the grated zucchini to the mixture along with chopped red pepper, grated cheese, baking powder, and all-purpose flour.
Fold everything together until just combined. Be careful not to overmix!
Divide the batter evenly between muffin cups lined with paper liners.
Bake at 180°C for 25 minutes, or until a toothpick inserted into the center comes out clean.
Let the muffins cool slightly before serving.
