The four are Eleanor Wichman, Tereapii Akavi, Vaitoti Tupa and Danniel Apii Jr.
They will leave the country on Friday alongside coach and manager Ngaoa Ranginui.
Cook Islands Badminton Federation president Thomas Ngauru said the four have been preparing for this trip for the past five months.
The camp will be conducted by Oceania player and development manager Robbie Thackham at the Balmoral Badminton Club in the Auckland suburb of Newmarket.
The tournament will be held at the Eastlink Badminton Stadium in Hamilton on August 3 and 4.
In the tournament, Ngauru said the team of four would compete in singles, doubles and mixed doubles against players from around the region.
“The camp and tournament are a permanent fixture on Cook Islands Badminton’s junior development programme, which is the next level as players move from competing at the AIMS Games (U13s),” he said.
“This is the second team to represent the country at this camp and tournament, which has only been made possible through the tremendous support we receive from our regional confederation.”
The next step for some of these players will be the Oceania U19 Championships in Melbourne, Australia, in February next year, Ngauru said.
On Sunday, the team, along with Cook Islands Badminton executives and families, attended a church service at the Arorangi CICC.
“We would like to thank the Ekalesia for their prayers and blessings bestowed upon the team and for the beautiful spread,” Ngauru said.
“Cook Islands Badminton would also like to thank Badminton Oceania for this opportunity and continuous support of badminton in the Cook Islands and wish our team the best of luck.”