Heat about 2 inches of oil in a medium saucepan over medium-low heat. You want the heat to be about 350 degrees F, but after a few minutes of heating, I’ll test it out by throwing a shallot slice in. While the oil is heating, stir together the flour, salt, paprika, garlic powder and pepper. Dredge the shallot slices through the flour. Once coated, add them in batches to the oil. Fry until just golden and crispy, then remove with tongs or a slotted spoon and place on a paper towel to drain excess grease. Repeat with remaining batches.