Season chicken to your desired liking. Add 1 tablespoon of olive oil to a large skillet on medium heat. Then add chicken. Cook chicken until no longer pink; remove from heat and cut into bite-sized pieces or shred. Set aside.
Chop pepper, onion and mushrooms. Spray skillet with cooking spray, then heat over medium-high heat; add chopped veggies; sauté for 3-5 minutes. Remove from heat.
Using same skillet, spray with cooking spray, add a tortilla, top with veggie mixture and some chopped, cooked chicken, sprinkle with shredded cheese and finally top with a second tortilla; spray top tortilla with cooking spray. Cook to allow bottom tortilla to begin to brown, approximately 4-5 minutes; flip over and allow to brown once again. Repeat with remaining tortillas until everyone has a quesadilla.
Top quesadillas with fresh cilantro, salsa (optional) and tangerine wedges.