Put the ground beef, measured cooked zucchini, and sea salt in a large glass or stainless-steel bowl. Mix only until the zucchini is evenly distributed.
For patties, shape about 4 inches across and 1/2 to 3/4 inch thick. Arrange in a cold cast-iron or stainless-steel skillet, adding a little cooking fat only if needed.
Turn the heat to medium-high. When the patties begin to sizzle, cook 1 minute. Lower to medium and cook 3 minutes more. Flip and cook about 4 minutes on the second side, adjusting for thickness until cooked through.
For oven bites, heat the oven to 350°F. Lightly grease an uncoated stainless-steel sheet pan or glass/ceramic baking dish and portion the mixture into pieces of about 2 ounces.
Bake about 20 minutes, five minutes more or less as needed, until browned outside and cooked through inside.