Preheat the oven to 450°F.
Season the chicken with salt and pepper, if desired. Toss the chicken in a large bowl with the tomatoes, garlic, oil, and basil. Transfer to a rimmed baking sheet, and spread out evenly.
Roast until the chicken is cooked through, 15 to 20 minutes, tossing halfway though. A meat thermometer should read 165°F.
Meanwhile, cook the pasta to al dente according to the package directions. Drain.
In a large serving bowl, toss the chicken and tomatoes with the pasta, olives, and pepperf lakes (if using). Top with Parmesan, if desired.