In a large mixing bowl, combine the chopped broccoli, cheddar cheese, Parmesan cheese, breadcrumbs, and seasonings.
Add the eggs and mix until well combined.
Heat olive oil in a skillet over medium heat.
Form small patties from the mixture and place them in the skillet.
Cook for 3-4 minutes per side, or until golden brown and crispy.
Remove from heat and place on a paper towel to absorb excess oil.
Serve warm with your favorite dipping sauce.