"We were coming here to ensure that the record was correctly understood, that with precision and exactitude they knew what had happened in New Zealand and what our response was… But in the opening days… some misinterpretations could have happened, but I am delighted to say that they have all been cleared up," Peters told reporters, when asked about Ardern's comment.
The minister said he had been reassured by Istanbul that New Zealand citizens would be welcome in Turkey.
Misunderstanding between New Zealand and Turkey occured after the Turkish President Recep Tayyip Erdogan referred to Australians and New Zealanders who fought at the Gallipoli peninsula at the World War I, saying some of them would return home "in coffins."
Erdogan's statement prompted Australian Prime Minister Scott Morrison to summon the Turkish ambassador in Canberra.
Last week's attacks in two mosques in Christchurch killed 50 people and left as many injured. New Zealand police have detained a suspect, Brenton Tarrant.