If it’s the standard fan, not a Fantastic fan, you could wire a wall switch to turn it on/off, but opening it would still be a manual operation. If it is a Fantastic fan, that has a motorized lid, there should be a thermostat for it.
The original Fantastic fans use an analog spring Honeywell 9988-81 thermostat. I recently bought a replacement thermostat (same as the original) for mine. About $25.
I may be wrong, but I think newer models of Fantastic fans may actually use a remote key fob to operate them. I’m betting what you have is a Fantastic Fan. Take some photos or get the model info off it and post it.
The photo is of the OEM thermostat. Mine is acting up lately, so I got the replacement to install next week.
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