I would suggest if the above is true than to install a ge 12730 smart fan controller allows for 3 speed fan control at the wall box switch location and like pizzinini recommended put a in wall smart dimmer or switch to control the light.
Fan light controlled independent wall switches.
One for the fan and one for the light.
If the existing wiring has only 1 switch for control and the power comes to the switch first then you can only control power to the ceiling fan assembly via the switch and you have to control the fan and the light with the pull chain switches when the wall switch is on.
The old fan light had a pull down chain that let me operate the 3.
Gain the competitive edge that lutron has enjoyed for more than 40 years through light control education and training.
The more common installation though is to have the power run to the ceiling fan first.
Inovelli z wave fan light switch red series zwave fan control light dimmer independent controller of fan speed light bulbs 4 0 out of 5 stars 18 69 97.
Provides control of one ceiling paddle fan and 3 quiet fan speeds provide increased comfort.
The skylark fan control is designed to conveniently the skylark fan control is designed to conveniently set the speed of a ceiling fan.
Smart ceiling fan control switch and light wall switch 1 gang light switch 3 speed fan controller works with alexa google home siri app 4 8 out of 5 stars 12 49 00 49.
I had a ceiling fan light combination that was operated by two independent wall switches.
The control features a small rocker switch to turn the ceiling fan on and off and a slide knob for fan speed control.
The control provides 3 speed operation and a full range dimmer so you can select your desired level of cooling and lighting and is easy to install in a single box 3.
A remote can speed up or slow down the fan turn the fan on and off or turn the lights connected to the ceiling fan on and off.
A remote controlled ceiling fan bypasses one of the wall switches and allows for remote access to the ceiling fan s workings.