We present an exploratory study for charmonium radiative transitions: J=c ! c , c0 ! J=É, and h c ! c using N f ¼ 2 twisted-mass lattice QCD gauge configurations. The single-quark vector form factors for c and c0 are also determined. The simulation is performed at a lattice spacing of a ¼ 0:067ð2Þ fm and the lattice size is 32 3 Â 64 with a pion mass of about 485 MeV. After extrapolation of lattice data at nonzero Q 2 to 0, we compare our results with previous quenched lattice results and the available experimental values.