The statement went on to say: "We would like to assure that all foreign guests intending to visit Turkey, including our Anzac brothers and sisters, are most welcome to our country".
The statement comes after tensions between New Zealand and Turkey have flared.
Erdogan – who is just days out from an election – has played clips of the video the alleged Christchurch gunman made of his attack at rallies.
This is despite Foreign Minister Winston Peters saying he had been assured the footage would not be played.
However just hours after Peters met with Erdogan, the Turkish President reportedly played the footage again. Peters was in Turkey this week at the meeting of the Organisation of Islamic Cooperation in Istanbul (OIC) where he had been asked to attend.
At rallies, Erdogan has also called on New Zealand to restore the death penalty.
Not long after news of the shooting broke, Erdogan said, in what seemed to be a message aimed at New Zealanders and Westerners: "Your grandparents came, some of them returned in coffins. If you come as well like your grandfathers, be sure that you will be gone like your grandfathers."
Those comments drew criticism from Australian Prime Minister Scott Morrison, who said Erdogan's words were "deeply offensive".
"I do not accept the excuses that have been offered for those comments," Morrison told reporters after he met with the Turkish ambassador.
The Ministry of Foreign Affairs and Trade (MFAT)'s travel advice to people going to Turkey has not changed since Erdogan's comments were made.
This is despite Australia's travel advice for Turkey being reviewed in light of the diplomatic tensions.