Store your thawed chicken in the refrigerator. Chicken that has been thawed can be safely stored in the fridge for 1-2 days. Once a chicken has been thawed it should not be refrozen.1  Store your thawed chicken in the coldest part of your refrigerator. 2  This will keep your chicken bacteria-free for a longer amount of time.he standard rule says that 1 pound (0.453 Kg) of chicken takes 5 hours to defrost in a refrigerator. 1  Keep in mind that thawing a whole chicken in the refrigerator can take more than 24 hours.