The deterministic rotation of magnetization by electric fields is a challenging issue for future low-power spintronics. In a Co/0.7Pb(Mg-1/3 Nb-2/3) O-3-0.3PbTiO(3) multiferroic heterostructure, piezostrain-mediated, macroscopically maneuverable, and non-volatile magnetization reversal without an applied magnetic field is demonstrated. This, combined with the presented phase-field simulations, is of practical relevance for designing prototype devices.