The government also did not make public it had authorised the soldiers to train Iraqis at Qayyarah West Airfield, about 60km south of Mosul, the city liberated from ISIS last year.
New Zealand soldiers were also collecting biometric information from Iraqi soldiers at Camp Taji.
"The military use of biometrics in Iraq has historically had adverse human rights impacts. The biometric information collected by the NZDF is also potentially accessible to United States' intelligence agencies."
Mark Mitchell, who was defence minister under the previous National government, said in a statement to Fairfax there was no change to New Zealand's mandate in Iraq beyond troop training carried out behind fencing at military camps.
NZDF and current Defence Minister Ron Mark have been contacted for comment.
New Zealand has about 100 soldiers taking part in Task Group Taji, as the combined New Zealand and Australian task group is called.
It has trained more than 28,000 Iraqi Security Force personnel since its mission began in May 2015.
The training mission has been extended to November 2018 and last week Foreign Minister Winston Peters said no decision had yet been made about whether it would be continued beyond then.