Coarsely shred zucchini (you should have about 4 cups) and combine with salt in a medium−size bowl. Let stand for 15 minutes. Squeeze with your hands to press out moisture.

Stir in eggs, cheese and garlic.

Melt 2 tablespoons of the butter in a wide frying pan over medium−high heat. Mound about 2 tablespoons of the zucchini mixture in pan; flatten slightly to make a patty. Repeat until pan is filled, but don’t crowd patties in pan. Cook patties, turning once, until golden on both sides (about 6 minutes).

Lift out and arrange on a warm platter; keep warm.

Repeat to cook remaining zucchini mixture, adding more butter as needed.