Cover 4 slices of toast with ham and mozzarella, sprinkle with olives and oregano. Cover with the other 4 slices of toast and weigh down with a wooden board for 10 minutes to shape.
Beat the eggs and whisk with the parmesan. Pull the four double slices through the egg and cheese mixture, turn several times in breadcrumbs and bake in hot olive oil on each side until golden yellow.
Serve the olive wedges cut into triangles immediately.