I have the 560-II (Sony variant), which is a great manual flash - for the price, it's difficult to beat.
The 560-III, which includes the wireless receiver, should work fine off camera triggered by a Sony fit rf-602 transmitter.
On-Camera, you woudl need a hot shoe adaptor - again, it should work fine in this configuration since it is manual only - the only contact used is the primary 'fire' signal, so there is no problem with general compatibility.
However, all the above is based upon my understanding of the flash, not from actual experience with a 560-III on Sony, so I cannot guarantee I am correct
Will you be using it primarily on or off camera?
If mainly on-camera, I would suggest getting a 560-II in Sony fit, so it will mount directly, then use a Sony fit transmitter / receiver to cover wireless.