when you place him in the fridge you also need to make sure you place a bottle of dechlorinated water in the fridge as you will have to do complete daily waterchanges on this container. Use a plastic container with a lid, wrap it in a teatowel, to stop the light flashing/temperature fluctations from normal fridge useage.
While he is in the fridge, you need to test the tankwater for ammonia, nitrite and nitrates. If you don't have test kits for this, take a sample of tankwater to the petshop and ask them to test the water. But do not buy any chemicals to fix the tankwater. If ammonia or nitrite levels are over 0, you do frequent partial (usually 20%-30%) waterchanges on the tank.
Another thing:
1. How large is the tank (measurements please)?
2. What substrate do you have in the tank - ie sand/rocks/pebbles?
3. What temperature is the tankwater?
4. How long have you had the axolotl?
5. Are there any other tank companions?
I'm also assuming you didn't cycle the tank prior to adding him. See:
http://www.caudata.org/cc/articles/cyclingEDK.shtml