Frequently, the solenoid on the icemaker freezes in the winter due to improper winterization and must be replaced.   Leo Everitt offers the following tip for easy replacement - with no need to remove the referigerator.

.   Remove the plugs hiding the screws holding the fiberglass grill on the exterior wall.   Remove the screws and gently pull grill out (best while sun is shining on it to warm sealant).   It exposes the solenoid completely and takes just a couple of minutes to change out.