Most dehumidifiers should not be operated in temperatures below 60° F. The coils on the dehumidifier will freeze and damage the unit. Some models have a defrost cycle that will allow them to operate in lower temperatures, but most do not.
However, you can use a desiccant dehumidifier, this one will work in low temperature conditions. I will have no problems of icing.
Check out our best pick dehumidifier BaseAire 120 Pint Dehumidifier.