Preheat oven to 400 degrees F. Grease a baking sheet; set aside. In a small skillet cook chorizo over medium-high heat about 3 minutes or until warm. Transfer chorizo to a medium bowl. Stir in beans and 6 tablespoons salsa.
Place tortillas on the prepared baking sheet. Divide chorizo mixture among tortillas; top with cheese. Fold each tortilla in half. Bake for 5 to 6 minutes or until cheese is melted.
Cut each quesadilla in half. Serve immediately. If desired, serve with sour cream and additional salsa and garnish with parsley.