Extra fresh ginger? Don’t fret, don't throw it out and don't wrap it. Just put the ginger in the refrigerator as is; any flesh exposed by a knife cut will scab up, just like us!
Ginger that I store this way lasts for weeks in my refrigerator. Once it starts to shrivel, though, it's on its last legs. But remember: It's not stale bread if you are starving.