What causes the 2013 chevy impala clicking noise in dash?

The clicking noise in a 2013 Chevy Impala might be caused by a blend door actuator. A blend door actuator is an electric motor that is connected to sensors of Your vehicle climate control system. The blend door (what the actuator controls) is what dives and controls the flow of air. Not every problem with an actuator means that You have to change the component. Sometimes a re-calibration can solve the issue cheaper. So, asking a professional would be the wise choice here. To narrow down where the clicking noise is coming from, listen closely, so You can report that to Your mechanic.