"Our delegation in Zurich are in close contact with our Executive Committee and Oceania Football and we will continue to play our role in upholding the integrity of FIFA and its operations."
Martin said the arrests and investigation shouldn't impact the World Cup on New Zealand soil.
24 teams are currently in the country for the three-week tournament which will take place over seven cities.
"New Zealand Football, together with our Local Organising Committee, remain focussed on delivering a great FIFA U-20 World Cup, starting on Saturday.
"We do not anticipate that these events will impact on the tournament. The event venues, staff and volunteers have been working hard and are ready to stage the biggest football event this country has ever seen."