Repeat with remaining tortillas, chicken mixture, cheese and chilies. Cut quesadillas into wedges. Serve with salsa. To Grill: Heat coals or gas grill for direct heat. Assemble quesadillas on platter, brushing outer sides of tortillas generously with oil. Carefully slide onto grill. Grill uncovered 4 to 6 inches from medium heat 4 to 6 minutes, turning after 2 minutes, until light golden brown.