Place the tortilla on a plate, top half of the tortilla with grated cheese and chickpea filling. Fold the other half of the tortilla over the filling. Press lightly.
Place the quesadilla on a hot skillet and cook until the cheese melts and the tortilla is golden, about 2~3 minutes. Flip and cook on the second side.
Repeat with the other tortillas. Serve warm or at room temperature with salsa, sour cream, guacamole.