I've used copper as an electrode for electrolysis. What will happen is on the cathode (positive electrode) the copper will oxidize. The oxidized copper does not dissolve into water. If you want to carry out electrolysis of water use graphite rods for your electrodes. If your just trying to dissolve copper use a concentrated mineral acid. Both Cu(I) and Cu(II) oxides are insoluble in water.
Are you sure you don't mean HCl? I've never heard of a salt being used as a solvent.