Place a large non-stick skillet over high heat until splashed water drops sizzle and evaporate almost immediately. Lower the heat to medium. Add 1 tablespoon of olive oil, and place a generous tablespoon of green beans in the skillet. Gently smash to form the fritters and let them cook for 6 minutes without moving them. Turn them over with a spatula and cook for another 6 minutes. You can make 3 or 4 at a time, depending on the size of your skillet. Once they're ready, place them on a plate lined with absorbent paper towels, and continue with the rest of the mixture until finished.