1Heat coals or gas grill for direct heat. Mix chicken and cilantro.
2Place 1 tortilla on 30x18-inch piece of heavy-duty aluminum foil. Top with one-fourth of the chicken mixture, 1/4 cup of the cheese and one-fourth of the chilies. Top with another tortilla. Wrap foil securely around tortillas; pierce top of foil packet once or twice with fork to vent steam.
3Repeat with remaining tortillas, chicken mixture, cheese and chilies. Cover and grill foil packets, seam sides up, 4 to 6 inches from medium heat about 15 minutes or until cheese is melted.
4Cut quesadillas into wedges. Serve with salsa.