There should be no problem running the pump on 60Hz, it will run a little faster and slightly cooler.
Also in N.A. the standard is 240vac.
Also there is way of turning the pump on via one of the VFD outputs, and setting it for VFD-in-run, then the pump will turn on automatically with the spindle, you can also fit a OFF overide if you wish to turn it off at any time.
Al.