Safe Storage. Fresh, raw chicken can be stored in its original wrap for up to two days in the coldest part of the refrigerator. However, freeze chicken immediately if you do not plan to use it within two days after purchasing.You can freeze most chicken in its original packaging safely for up to two months; if you plan to freeze it longer, consider double-wrapping or rewrapping with freezer paper, aluminum foil or plastic wrap.Stocking the freezer with boneless, skinless chicken breasts and thighs can be a real timesaver.owever, freeze chicken immediately if you do not plan to use it within two days after purchasing. You can freeze most chicken in its original packaging safely for up to two months; if you plan to freeze it longer, consider double-wrapping or rewrapping with freezer paper, aluminum foil or plastic wrap.