Do you blatantly ignore the ratings on other components? You can
get away with putting too much voltage on a capacitor, or extra watts
into a resistor, but not for very long.

With an AC fan, most are designed for a limited frequency range. The
inductance and laminations and RPM are geared for a rather narrow
range.

Most likely the 60Hz fan will refuse to spin. If it does spin, it
will be way below synchronous speed and you'll get very little torque
out of it.

The traditional way out is to use a fan running off some handy DC
supply.