While possible, this must be done carefully. Check the amp and volt ratings of the thermostat to verify that it can handle the load of all heaters running at the same time. You may also get uneven heating if the areas covered by each heater are different sizes, or in an irregularly shaped room where air does not flow readily from one section to another. Consult the heater’s Installation Guide for additional thermostat instructions. If you are unfamiliar with the methods of installing electrical wiring, secure the services of a qualified electrician.