Steam the broccoli florets until tender, about 5-7 minutes. Drain and let cool slightly.
In a large bowl, combine the steamed broccoli, cheddar cheese, eggs, almond flour, Parmesan cheese, garlic, salt, black pepper, and red pepper flakes. Mix well until all ingredients are evenly incorporated.
Heat a thin layer of olive oil in a large skillet over medium heat.
Scoop about 2 tablespoons of the broccoli mixture and form into a small patty. Repeat with the remaining mixture.
Fry the fritters in batches, cooking for 3-4 minutes on each side, or until golden brown and crispy.
Transfer the cooked fritters to a paper towel-lined plate to drain excess oil.
Serve warm, garnished with extra Parmesan cheese if desired.