fan that require timers in the US
No. Timers on exhaust fans are not required in a laundry area in Washington State, nor any other state, that I'm aware of.
If your z-wave switch is UL listed for fan control, then it's permissible.
This code excerpt makes no mention of specific rooms.


Local exhaust ventilation systems. Local exhaust ventilation systems shall be controlled by manual switches, dehumidistats, timers, or other approved means.

(LOCAL EXHAUST. An exhaust system that uses one or more fans to exhaust air from a specific room or rooms within a dwelling.)
–Chapter 51-52 WAC. STATE BUILDING CODE ADOPTION AND AMENDMENT OF THE 2015 EDITION OF THE INTERNATIONAL MECHANICAL CODE, wa.gov