Place 2 tortillas on ungreased cookie sheet; spread with pizza sauce. Top with salami slices, mushrooms, 1/2 cup of the cheese and remaining tortillas.
Broil 6 to 8 inches from heat for 1 to 2 minutes or until tortillas are lightly browned.
Turn quesadillas over; sprinkle with remaining 1/2 cup cheese. Broil an additional 1 to 2 minutes or until quesadillas are light golden brown and cheese is melted. Sprinkle with parsley. Cut into wedges to serve. If desired, serve with additional heated pizza sauce.