[5] The system subsequently passed near or over the islands of Maewo and Ambae, before the JTWC initiated advisories on the depression and designated it as Tropical Cyclone 16P early on 8 April.

Cook subsequently made landfall on the Grande Terre Island of New Caledonia, between Houaïlou and Kouaoua at around 04:00 UTC (15:00 NCT) on 10 April where it started weakening due to frictional forces.

[13] The system subsequently reintensified slightly as it continued to move southwards towards New Zealand, before it made landfall on the North Island's Bay of Plenty to the west of Whakatāne during 13 April.

[14] Cook impacted northern, central and southern parts of Vanuatu between 7–9 April, where it produced gale- to storm-force winds, heavy rain and widespread flooding, as well as rough seas.

[17][18] During Cook's impact on the island nation, all domestic and international airports were shut, while the NDMO formally evacuated over 1000 people to 13 shelters within the provinces of Shefa and Tafea as they were all living in flood-prone areas.

[21] Over the next couple of days the Directorate issued level-one and level-two cyclonique alert for most of the French territory, which required people to continue preparing before remain inside their homes or emergency shelters at the height of the storm.