Steam or lightly boil the broccoli florets until tender, then drain well and chop finely.
In a large bowl, mix the chopped broccoli with cheddar cheese, breadcrumbs (or almond flour), eggs, onion, garlic, salt, and pepper.
Shape the mixture into small patties, pressing them together firmly so they hold their shape.
Heat olive oil in a skillet over medium heat. Fry each patty for about 3 to 4 minutes per side, until golden brown and crisp.
Serve warm as a side dish, appetizer, or even stacked in a sandwich.