at this stage fridging might slow his/her metabolism down enough to allow him/her to heal, but in the condition he/she is in it could just as likely kill him/her, your axolotl needs to be removed from the tank and tubbed with fresh dechlorinated water, enough that the water is over his/her body but not enough that his/her feet come of the ground so as to prevent turning over. add 3 grams per litre of marine salt to his/her water, do not use salt for human consumption such as table salt as this contains iodine, do not do a salt bath as the stress of using a high dose of salt may be to much, do a water change every morning adding the 3g per ltr salt, read up about using holtfreters solution to get and keep the water to a healthy state info here..http://www.axolotl.org/requirements.htm. keep his/her water as cold as possible without fridging.
as a recap.. Tub your axolotl, only use enough water to cover, add 3g salt per litre to any water used, 24hr 100% water changes with dechlorinated slightly brackish water, once/if he she recovers and the tank gets cycled use holtfreters or a modified solution in the tank water and every water change, get a air-stone in any water that contains a axolotl to discourage air gulping, get some almond/catappa leaves to help relieve stress and for anti-bacterial.
using salt or holtfreters isn't a miracle cure but it will give the best chance of survival.
get the tank cycled properly.
oh if he/she will accept food feed at night clean in morning.