If meat is stored in a refrigerator freezer, it should be used within two or three months. Whole chicken stored in a freezer unit can be stored safely for up to a year, and chicken pieces can be stored up to nine months.o not leave the chicken at room temperature for more than two hours. If cooked chicken is not going to be used within four days of cooking, it should be frozen. Refrigerating. Raw or cooked chicken can be stored safely in a refrigerator at 40°F or lower for several days.