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Pat the chicken dry and season the pieces with 1 1/2 tsp of salt and 1/2 tsp of pepper.
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Heat a 10-12 inch oven safe skillet over med-high heat and add the olive oil. Let the oil heat up for a few seconds and then add the pancetta. Cook, stirring frequently until it is well browned and crisp, about 3 minutes. Remove with a slotted spoon to a paper towel lined plate.
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Add the chicken to the skillet. Sear, turning the pieces only occasionally, until well browned on all sides, about 10 minutes.
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Transfer them to a large plate. Pour off all but 1 tbsp of the oil in the skillet.
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Add the garlic, anchovies, capers, and chili flakes to the skillet and sauté for 1 minute.
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Stir in the tomatoes, the basil sprig and the remaining 1/2 tsp of salt and pepper. Cook and break up the tomatoes with a spatula, until the sauce thickens somewhat, about 10 minutes.
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While the sauce is cooking, heat the oven to 400F.
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Return the chicken to the skillet and transfer the skillet to the oven and cook uncovered, until the chicken is no longer pink, about 30 minutes.
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While the chicken is cooking in the oven, prepare the pasta according to the directions of the package, in well salted water. Drain.
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Remove the skillet from the oven and scatter the bocconcini over the chicken.
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Turn on the broiler, and place a rack 6 inches or so from the heat. Place the skillet under the broiler and broil till the cheese is bubbling. This should take about 1-3 minutes, but watch it carefully!
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You can either place all the pasta on a platter and then scoop out the sauce over the pasta. Then place the chicken and cheese over the sauce. Or you can do this on individual plates.
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Garnish the chicken with the pancetta and basil before serving over the pasta.