Bring a large pot of lightly salted water to a boil; add penne and cook, stirring occasionally, until tender yet firm to the bite, about 9 minutes. Drain.
Heat olive oil in a large skillet over medium heat. Cook and stir chicken with poultry seasoning until chicken is no longer pink in the center, 5 to 7 minutes. Stir in Alfredo sauce, garlic Alfredo sauce, and salsa. Add pasta; simmer over low heat, stirring occasionally, until sauce is heated through and thick, about 30 minutes.