In small bowl, mix chicken, cilantro and cumin.
Spray 1 side of 1 tortilla with cooking spray; place sprayed side down in skillet. Layer with one-fourth of the chicken mixture, 1/4 cup of the cheese and one-fourth of the chiles to within 1/2 inch of edge of tortilla. Top with another tortilla; spray top of tortilla with cooking spray.
Cook over medium-high heat 4 to 6 minutes, turning after 2 minutes, until light golden brown. Repeat with remaining tortillas, chicken mixture, cheese and chiles. Cut quesadillas into wedges. Serve with salsa.