In a large skillet, put enough olive oil to at least cover the bottom of the pan. Let the olive oil heat up over medium-high heat. When hot, add the garlic and fry until fragrant, about 15 seconds. Add only enough artichoke slices to make 1 layer in the pan (you may have to do this in a couple of batches). You don't want to overcrowd the pan, otherwise the artichokes will steam, not fry.