Control GE Z-wave fan with a single push button?

I don’t think you can do this with the switch. You can definitely do it with a button controller, like a minimote, and there is a smartapp for that. But that doesn’t help you with the Harmony remote.

Just in case you are interested in that option, here’s that code:

The only possibility I can think that might work with a switch you could control from Harmony is core. It might be able to do this. I would ask in the peer assistance thread, The folks there will know if it’s possible.