Bring a pot of salted water to a boil. Add the ravioli and cook as the label directs. Drain, then drizzle with oil and toss. Set aside and keep warm.
Meanwhile, sprinkle the chicken with salt and pepper. Heat 1 tablespoon of the oil in a large nonstick skillet over medium-high heat. Add the chicken and cook, undisturbed, until beginning to brown, about 2 minutes. Continue to cook, stirring, about 1 more minute. Transfer to a plate (the chicken will not be cooked all the way through at this point).
Heat the remaining 1 tablespoon oil in the skillet. Add the mushrooms and cook, undisturbed, until browned in spots, about 2 minutes. Sprinkle with salt and continue to cook, stirring, until softened, about 3 more minutes. Return the chicken and any collected juices to the skillet. Add the Tuscan Style Herb & Balsamic Cooking Sauce, half of the parsley, 2 tablespoons of the Parmesan and 2 tablespoons water. Bring to a simmer and cook, stirring occasionally, until the chicken is cooked through and the sauce has thickened, about 4 minutes.
Nestle the ravioli into the skillet. Sprinkle with the remaining parsley and Parmesan. Sprinkle with crushed red pepper.
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