In a medium mixing bowl, combine chicken, pepper, salami, cheese, red peppers, olives, artichoke hearts, and parsley.
In a separate bowl, combine mayo, lemon juice, vinegar, parmesan cheese, sugar, garlic, salt, and pepper. Whisk until smooth.
Pour dressing over chicken salad and stir until combined.
Serve on a sandwich, on top of a crostini, or enjoy as is!