Preheat oven to 180 degrees and spray baking dish with cooking spray.
Chop broccoli into tiny florets and grate zucchini. Add to a medium pan with olive oil and cook over medium high until the broccoli is soft and bright green. Remove from heat.
In a bowl, add eggs, oregano, salt, flour and grated cheddar cheese; whisk to combine. Add the veggies and stir again.
Pour into prepared pan and bake for 15 minutes; cut into squares and serve warm.