In a large bowl, mix together the minced beef, grated zucchini, chopped onion, minced garlic, breadcrumbs, eggs, dried oregano, paprika, salt, and pepper.
Form the mixture into small patties and place them on a plate.
Preheat a grill or grill pan over medium-high heat and lightly brush it with olive oil.
Grill the beef and zucchini fritters for 3-4 minutes per side, or until cooked through and browned.