Place chicken in Multi Cooker with 1 cup water, set to CUSTOM, 10 minutes. Press button to start. Once timer goes off, release pressure and shred chicken.
Grate 2 cups cheese.
In a skillet, combine the first 6 ingredients. Over medium heat, cook uncovered, for 10 minutes or until heated through, stirring occasionally.
Preheat Deluxe Electric Grill and Griddle to PANINI Setting, time 2:30, press button to start.
Brush one side of tortillas with butter. Spoon 1/3 cup chicken mixture over half of the unbuttered side of each tortilla. Sprinkle with 1/3 cup of cheese; fold in half.
Once preheated, add quesadillas to Grill, place in CLOSED position and cook @ 1:30 or until crisp. Alternatively,you can place on a lightly greased baking sheet, and bake at 475 degrees for 10minutes or until crisp and golden brown.
Cut into wedges; serve with your favorite toppings.