Steam the broccoli florets until tender, then finely chop them.
In a large bowl, mix the chopped broccoli, cheddar cheese, breadcrumbs, Parmesan, garlic, oregano, basil, salt, and pepper.
Add the beaten eggs and stir until everything is well combined.
Shape the mixture into firm patties using your hands.
Heat olive oil in a skillet over medium heat and fry the patties until golden brown, about 3-4 minutes per side.
Once cooked, transfer the patties to a plate lined with paper towels to drain any excess oil. Serve hot.