Heat a nonstick skillet over medium high heat. Place the tortilla in the skillet and sprinkle one half with about 1.5 tbsp of cheese. Spread with about 1/2 cup of the chicken filling. Top with another 1.5 tbsp of cheese.
Fold the tortilla over and cook on one side until the cheese is melting and the tortilla begins to brown. Flip over and cook on the other side for 2-3 minutes more until the tortilla browns and the cheese is fully melted. Repeat with remaining quesadillas.