Single-layered supported graphene sheets were irradiated by iodine, copper, silicon, and oxygen ions in the MeV energy range. The selected ion beams cover a wide range of nuclear and electronic stopping powers. Raman spectroscopy used for the analysis of irradiated graphene samples reveals similar, nanometer-sized, pores due to the ion impacts, but with varying probability of their formation. We observed an inverse relationship between ion velocity and the size of the nanopores. Also, we observed damage accumulation is influenced by electronic stopping in all cases when electronic stopping is greater than nuclear stopping by two orders of magnitude. The systematic investigation presented in this work enables custom-made production of nanoporous graphene using high-energy heavy ion beams.