Strawberries can be left unrefrigerated after cutting them for up to two hours. You will want to put them in the fridge after two hours to help the berries stay fresh and be safe to eat. However, if you have not cut or washed them, they can sit at room temperature for up to two days. However, storing them at room temperature will not stay fresh for as long as they will by storing them in a glass container in the fridge.