Spread the chicken breast tenderloins on the baking sheet and sprinkle with garlic salt and seasoned salt.
Bake chicken in the preheated oven until no longer pink in the center and the juices run clear, about 15 minutes. Set aside; when cool enough to handle, cut tenderloins into bite-size pieces.
Fill a large pot with lightly salted water, bring to a boil, and stir in penne. Cook pasta at a boil, stirring occasionally, until penne are cooked through but still slightly firm, about 11 minutes; drain.
Transfer penne back to cooking pot and stir in butter and Parmesan cheese until pasta is coated.
Heat olive oil in a skillet over medium heat; place asparagus into the hot oil and sprinkle with garlic salt. Cook and stir until asparagus are tender, about 7 minutes.
Transfer penne pasta into a large serving bowl and top with asparagus and chicken tenderloin pieces. Lightly mix asparagus and chicken into the pasta to serve.
