Using a paring knife, remove the outer leaves, and trim the artichoke down to the choke. Use a vegetable peeler to remove the woody outermost layer of the stem.
Use a spoon to remove the inedible hairy leaves and slice into quarters. Place the artichokes in a bowl of water with some lemon juice to keep the artichoke from oxidizing or turning brown.
Add the flour to a casserole dish and whisk in some salt and pepper.
Heat the vegetable oil in a high-sided skillet or Dutch oven.
Dredge the artichokes in the flour, shaking off the excess. Once the oil is hot, slip the artichokes in the hot oil and fry for about 4 to 5 minutes, using tongs to flip them from time to time.
Transfer the artichokes and let drain on a paper towel-lined platter and sprinkle with salt.