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Preheat a griddle or frying pan over medium-high heat; if you have an electric griddle, set the heat to 400°F.
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Beat the eggs with the oil, salt, and pepper until thoroughly combined.
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Add the herbs, scallions, zucchini, and cheese, stirring to combine.
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Stir in the flour.
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Grease the hot griddle lightly. Drop the batter in 1/4 cupfuls onto the griddle; a muffin scoop works well here. If necessary, spread the fritters to about 3 1/2" to 4" diameter.
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Cook the fritters for 3 minutes, or until they're brown on the bottom, and bubbles have appeared on their tops. The top surface will appear somewhat dry and set.
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Flip the fritters, and cook them for about 3 to 4 minutes on the second side, or until they're as moist/cooked as you like when you break one open.
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Repeat until you've used all of the batter.
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Serve the zucchini fritters warm, at room temperature, or cold; with butter and grated cheese, or without. Store any leftovers, tightly wrapped, in the refrigerator. Reheat in a toaster or toaster oven, if desired.