This disclosure relates to methods to protect grafts against cell death due to preservation of the grafts prior to transplanting these grafts into patients. In particular, this disclosure discloses that connexin channel inhibitors can be used to protect against cell death associated with preservation and temporary storage of cells, tissues and organs. Preservation includes any procedure that involves a lowering of the temperature below the normal body temperature, including hypothermia (cold storage), cryopreservation and vitrification. Grafts that are protected according to this disclosure have an improved biological function.