Bring a pot of water to a boil; cook beans in boiling water until bright green, about 2 minutes. Immediately transfer green beans to a bowl of ice water to stop the cooking process. Drain and dry beans with paper towels.
Heat oil in a deep-fryer or large saucepan to 350 degrees F (175 degrees C).
Pour flour into a bowl. Whisk egg in a separate bowl. Pour bread crumbs into a third bowl.
Coat green beans with flour; transfer to beaten egg and coat evenly. Press coated green beans into bread crumbs.
Fry breaded green beans, working in batches, in the hot oil until golden brown, 3 to 5 minutes. Transfer fried beans to a paper towel-lined plate to drain.
The nutrition data for this recipe includes the full amount of the breading ingredients. The actual amount of the breading consumed will vary. We have determined the nutritional value of oil for frying based on a retention value of 10% after cooking. The exact amount will vary depending on cooking time and temperature, ingredient density, and the specific type of oil used.