Add the linguine, 1/4 cup of the reserved pasta water, and the rooster and any collected juices to the pan. Enhance the warmth to medium-high and toss the pasta and rooster with tongs till totally coated in sauce. Cook dinner for 1 to 2 minutes extra, including extra pasta water a couple of spoonfuls at a time if it begins to look dry. Take away the pan from the warmth. Add the lemon juice, zest, and parsley, and toss to mix. Style and season with extra kosher salt as wanted.