Cook the penne pasta according to package instructions until al dente.
Rinse the pasta under cold water and drain thoroughly.
While the pasta cooks, prepare the remaining ingredients by chopping, draining, and slicing as needed.
Transfer the cooled pasta to a large mixing bowl.
Add chicken, artichokes, olives, mozzarella, tomatoes, basil, and Parmesan.
Pour in the Italian dressing and toss everything together until evenly coated.
Season with salt and black pepper to taste.
For best flavor, refrigerate the Italian Chicken Pasta Salad for at least 30 minutes before serving.