Heat oil in a medium sauce pan. Cook the zucchini with onion, until softened, about 5 to 6 minutes. Season with salt and pepper. Let it cool.

In a mixing bowl, combine the beaten eggs and zucchini together, mixing well. Add cheese, flour, basil and baking powder, stirring well until well blended.

Spoon the zucchini batter into a prepared large frying pan with hot oil. Cook and fry, about 2 to 3 minutes on each side, until browned. Drain on a kitchen paper-lined plate.