Position an oven rack in the center of the oven and preheat to 450 degrees F.
Place a large saute pan over medium-high heat and fill a second large saute pan halfway with warm water and set over high heat. Add a very large pinch of salt to the water and cover with a lid.
Put the flour and a large pinch of salt and pepper into a large resealable plastic bag. Sprinkle the chicken cutlets generously with salt and pepper and place them in the bag, then close it tightly and give it a few shakes to coat the chicken completely.
Pour the olive oil into the hot pan and let it warm up for 30 seconds. Shake excess flour from the cutlets and add them one at a time to the hot oil. Cook until lightly browned on both sides, about 4 minutes total. While the chicken is cooking, tear off the leaves from the parsley and roughly chop; reserve. Transfer the chicken to a baking sheet lined with a rack and place in the oven to finish cooking while you prepare the rest of the meal.
At this point, the salted water should be at a full boil. Put the pasta into the water and cook, uncovered, until al dente, about 3 minutes.
Meanwhile, add the artichokes and capers to the same pan that the chicken was cooked in and use a wooden spoon to scrape up any browned bits at the bottom of the pan. Stir in the white wine and chicken stock and cook until the liquid is reduced by almost half, about 3 minutes. Stir in 2 tablespoons of the butter until melted. Turn off the heat and reserve.
Drain the cooked pasta and add to a large bowl along with the chopped parsley and remaining 2 tablespoons butter. Stir gently until the butter is melted and season to taste with salt and pepper. Transfer the chicken to a serving platter and spoon the artichokes and sauce on top. Serve immediately.
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