Transfer to a freezer safe bowl and press plastic wrap on top of ice cream. This keeps ice crystals from forming.
Remove the skin from the peach and puree it in a blender, food processor or hand mash until thin. Place it in a bowl and freeze for six hours.
Remove ice cream and peach puree from freezer. Gently break up peach puree with a spoon and add to the ice cream. Fold the peach into the ice cream. Do not over mix the peach in. Once all the peach is incorporated, place plastic wrap over top and return to freezer overnight.