Steam your broccoli florets and let them cool down enough to handle. Place in a large mixing bowl.
Drain the chickpeas in a strainer, reserving 2 tbsp of the liquid (aquafaba) from the can. Rinse the beans well. Add the beans and aquafaba to the bowl.
Mash the broccoli and beans with a potato masher or fork.
Add in garlic, salt, pepper, nutritional yeast, and panko breadcrumbs to the bowl. Stir well.
Heat oil until shimmering in a griddle or skillet over medium heat. Form the mixture into 6-7 larger sized fritters (or 8-10 small fritters).
Add to the pan and cook for about 4-5 minutes each side, or until browned and fully heated through.
Serve warm with vegan cheese and ketchup or another sauce of your choice.