Boil a pot of salted water and cook the rigatoni according to package instructions. You’ll want to aim for al dente, as it will absorb a bit of sauce later on. Once done, drain and set aside.
Heat olive oil in a large skillet over medium-high heat. Season the chicken with salt, pepper, and Italian seasoning. Cook the chicken for 4-5 minutes, stirring occasionally, until slightly golden. Next, add the red bell pepper, onion, garlic, and cherry peppers. Sauté everything together until the vegetables soften, about 3-4 minutes.
Lower the heat slightly and stir in the fire-roasted crushed tomatoes, heavy cream, and reserved pepper brine. Simmer for 5-10 minutes, allowing the sauce to thicken and for the flavors to meld beautifully.
Add the cooked rigatoni to the skillet and toss to coat each piece with the sauce. Adjust the seasoning as needed. If desired, garnish with freshly grated Parmesan and basil before serving.