There’s no smart fan itself which works directly with smartthings, but there are several switch choices which allow you to use pretty much any ceiling fan with SmartThings by replacing the switch.
If you are willing to use a double gang switch, then getting two GE zwave switches, one specifically designed for multi speed fans and one for the light kit on the fan, can work very well and removes the issue of trying to get signal through to a device in the fan canopy, which can indeed be tricky because of the ever changing position of the fan blades.
But there are other options as well. See the FAQ (this is a clickable link)