Lay tortillas on flat surface. Spread 1/4 cup chili over half of each tortilla, within 1-inch of edge. Top chili with 1/2 cup cheese and 1 tablespoon green chilies. Fold each tortilla in half.
Heat quesadillas in large skillet over medium heat for approximately 2 minutes on each side or until crispy.
Cut each quesadilla into 4 wedges. Serve with sour cream, if desired.