Rinse and drain the broccoli florets.
Add them to a food processor and pulse until the florets have a small size.
Add the oil, onions, and garlic in a medium skillet over medium heat. Cook for 4 minutes until soft.
Add the broccoli florets, 2 Tbsp water and continue to cook until soft, for about 7 minutes.
Slice the cooked potatoes and add them to the broccoli mixture.
Cook for about 5 more minutes and mix to incorporate ingredients.
Let cool for about 10 minutes.
Add the cheese into the broccoli mixture. Mix.
Form the patties using a measuring cup or a circle baking shape.
Heat a large skillet over medium heat. Cook the patties for about 5 minutes on each side or until the bottom is golden.