Steam or blanch the broccoli florets until tender, about 3-4 minutes, then chop finely.

In a large bowl, combine the chopped broccoli, cheddar cheese, eggs, and breadcrumbs. Add salt and pepper to taste and mix until well-blended.

Shape the mixture into small, tightly packed patties, about 2-3 inches in diameter, and place on a parchment-lined plate.

Heat oil in a skillet over medium heat and fry the patties for 3-4 minutes on each side until golden brown.

Alternatively, bake the patties at 400°F (200°C) for 20 minutes, flipping halfway through, until crispy.

Let the patties cool for a few minutes before serving warm with your favorite dipping sauces.