Add the chicken and teriyaki sauce to a zip-up bag. Let the chicken marinate for 1 hour up to overnight in the fridge.
Cook the chicken breast in a nonstick skillet or bake in the oven. Once cooked, cut the chicken into bite-size pieces.
Add 1/4 cup of cheese, chicken, pineapple, red pepper and green onion to once half of the tortilla.
Fold the top half of the tortilla over and place the quesadilla in a preheated skillet. Cook 3-4 minutes on each side.
Repeat with the remaining ingredients until all four quesadillas are made.