Place a large pot of water over high heat and bring up to a boil to cook the pasta. Once at a boil, add some salt and the pasta, and cook until al dente, according to package directions. Right before draining, remove and reserve 1 cup of the pasta-cooking water. Drain pasta thoroughly, return to the pot and reserve.
While the pasta is cooking, place a large skillet over medium-high heat with 1 turn of the pan of EVOO, about 1 tablespoon. Season the chicken with salt and ground black pepper, and cook in the pan until golden brown and cooked through, 3-4 minutes per side. Remove from the pan and set aside. When cool enough to handle, chop into bite-size pieces.