The airline said the FAA order required it to undertake a "power cycle" every three months.
"Air New Zealand fully complies with all Airworthiness Directives from relevant aviation authorities and this requirement will be incorporated into our ongoing maintenance plans," a spokeswoman said.
The FAA has direct control over United States-registered planes but in practice applies to operators of the aircraft around he would.
The New Zealand Civil Aviation Authority monitors Air New Zealand.
"Air New Zealand is required to incorporate this airworthiness directive into its maintenance schedule. The CAA will test this during the Air New Zealand maintenance control re-certification process this week," an authority spokesman said.
The FAA says the deactivation takes about an hour and costs about $110.
It said the risk to the flying public justified waiving a feedback period from operators.
Nearly 270 Dreamliners have been delivered around the world. They first entered service in 2011 after years of design and production delays. The risk of battery fires in 2013 forced the grounding of the fleet around the world for two months.