Add the shredded rotisserie chicken to a large mixing bowl. Add the chopped artichoke hearts, olives, tomatoes, banana peppers, red onion, and cubed salami with a pinch of salt and pepper.
Add the chopped basil and oregano.
Drizzle in the Italian dressing and toss to coat evenly. Taste and add more dressing if you’d like.
Chill for 15–30 minutes to let the flavors come together, or serve right away.