If the hospitality packages are out of budget then I would think your best chance would be via the NZ supporters club. Sign up if you're not already a member.
https://arsenalnewzealand.co.nz/
Official supporters clubs get an allocation for each game so you'll need to apply that way.
https://arsenalnewzealand.co.nz/
Official supporters clubs get an allocation for each game so you'll need to apply that way.