Peach Recipes Martha Stewart. Peaches are classified as clingstone or freestone based on how easy it is to dislodge the pit from the flesh. Most fresh peaches are freestones. The fruits also come in two main colors white and yellow. In Season Peaches are at their peak during July and August. Peach Tart Recipe' title='Peach Tart Recipe' />What to Look For Choose fruit with a fragrant aroma and flesh that yields a bit when pressed gently. If a peach has cuts or tan spots, or if its rock hard or mushy, dont buy it. Peaches that are tinged with green are usually underripe. How to Store You can refrigerate peaches for three to five days.