Using the large holes of a box grater, grate zucchini. Place zucchini in a colander set in the sink and toss with 1/2 teaspoons salt. Let stand 10 minutes, and then wring zucchini dry in a clean kitchen towel to remove moisture. Place zucchini in a large bowl and gently mix in egg, garlic, basil, oregano, lemon zest, onion powder, salt, and pepper. Mix well to combine. Slowly add flour, stirring so no lumps form.

Heat 2 tablespoons coconut oil in a large sauté pan over medium-high heat until the oil sizzles when you drop a small amount of zucchini mixture into the pan. Carefully drop about 2 tablespoons zucchini mixture into pan; repeat, spacing fritters a few inches apart.

Cook fritters until golden, 2 to 3 minutes. Lower heat to medium. Turn fritters, and continue cooking until golden, 2 to 3 minutes more. Transfer fritters to a plate; set aside in a warm place. Cook remaining zucchini mixture, adding more oil to the pan if necessary.