The fastest way I learned to peel peaches is to boil and blanche them. To do this, bring a large pot of water to a boil on the stove, then reduce the heat to a gentle simmer. Carefully lower the peaches into the pot and simmer for 30 seconds. Immediately remove the peaches from the simmering water and plunge them into a large bowl of ice water, submerging them completely to blanche them. The peels should slip off pretty easily.