Both flights had been delayed by about two hours because of weather disruption, Andrews said.
The turnaround came only two days after the airport apologised to Frankton residents for a curfew breach in May.
Airport chief executive Colin Keel said he thanked Air New Zealand for adhering to the airport's consent requirements and "acting in the best interests of our community".
It had happened on a "challenging day with weather conditions disrupting airline networks around the country".
On Tuesday, the airport apologised for allowing a Jetstar flight to take off 13 minutes outside the airport's consented hours on May 20.
Keel said the noise made by the plane was "unacceptable for residents who were disturbed".
Corrective actions were being put in place that would affect airlines, the airport's operations team and air traffic control.
They would ensure correct procedures were followed in the future, he said.