A typical small AC will have to dissipate about 5kW of heat through the radiator. If you put it into the sun, it will additionally need to dissipate the energy it gets from sunlight. Assuming that the area exposed to the sun of the radiator is about 0.25 square meters, it will receive at most 250W of energy from the sun (assuming that it is painted black and perfectly absorbs all light and miraculously doesn't emit anything).
This means that you can save at most 5% by putting the radiator in the shade.
(Metal sheets heat up quickly in the sun because they have low heat capacity. They also cool down quickly if you blow on them with a fan. Just because something feels "hot", it doesn't mean that a lot of energy is stored inside)