"We also cooperate with law enforcement to facilitate their investigations as required", it said.
The foreign ministry says there are 330 Indonesian citizens in Christchurch, 130 of them students.
The Trump administration is reacting, White House Press Secretary Sarah Sanders saying, "The United States strongly condemns the attack in Christchurch".
The Bangladesh cricket team was arriving for Friday prayers when the shooting occurred but all members were safe, a team coach told Reuters.
Police departments in New York City, Los Angeles and San Francisco said extra precautions will be taken at mosques beginning Friday, and London Mayor Sadiq Khan offered condolences and reassurances to the city's Muslim community.
"I'm also anxious about New Zealand because NZ is one of the most peaceful countries in the world, very good reputation so that image can be affected by this kind of activity".
A man who claimed responsibility for the shootings left a 74-page anti-immigrant manifesto in which he explained who he was and his reasoning for his actions.
A spokesman said the attack happened as some of players got off a team bus and were about to enter the mosque.
Police have warned people to avoid mosques anywhere in New Zealand following two shootings with multiple fatalities at two mosques in Christchurch.
Bush said he would not at this time "be discussing the offenders' possible motivations or the causes of this incident". She said four people in police custody held extremist views, but had not been on any police watchlists.
The attacks targeted the Masjid al Noor mosque, where 41 people died, and a second, smaller mosque in the suburb of Linwood, where seven more died. "They have no place in New Zealand".
"It is clear that this can now only be described as a terrorist attack", Ms Morrison said, adding that it marked "one of New Zealand´s darkest days".
She says this is an extraordinary and unprecedented act of violence. "Many of those who will have been directly affected by this shooting may be migrants to New Zealand, they may even be refugees here".
"If it's a cell we need to ask why weren't they detected, because that's why we have security services and it may be that those services have been looking under the wrong rocks".
On March 15, 2019, at least four people were arrested for opening fire on two mosques in Christchurch.
No details were immediately available.
New Zealand Shooting: The mosques were packed with worshippers gathering for Friday afternoon prayers.
The Prime Minister also offered strong words in defence of a now hurting New Zealand: "This act is not a reflection of who we are as a nation. this isn't who we are".
Sabir Hussain told Stuff he was praying at the same mosque when he heard the imam (leader of the mosque) say "our brothers have been shot".
"It's a very serious and grave situation", Mr Bush said.