New Zealand and Australian officials say China conducted live-fire exercises in international waters between the two nations, giving little notice and forcing commercial airlines to divert flights.
The three ships are currently about 519km east of Tasmania, outside Australia's exclusive economic zone, the New Zealand Defence Force said on Monday.
New Zealand Prime Minister Christopher Luxon said on Monday the limited notice China had given that it would undertake live-firing exercises would be raised in Beijing.
"There is nothing illegal here in terms of they are compliant with international law," said Luxon. "The issue for us is ... we'd appreciate a little bit more advance notice particularly on what is a busy air route."
Peters' visit to China beginning on Tuesday is part of a trip that includes stops in the UAE and Saudi Arabia, Mongolia and South Korea.
In Beijing he will hold talks with senior Chinese leaders, including Foreign Minister Wang Yi.
Peters said last week in a statement he would discuss with Chinese officials the bilateral relationship, as well as Pacific, regional, and global issues that are of interest to both countries.
"China is one of New Zealand's most significant and complex relationships, encompassing important trade, people-to-people, and cultural connections. We intend to maintain regular high-level political dialogue with China," Peters said.
Peters has also voiced concerns that the Cook Islands, an independent country in free association with New Zealand, had signed a comprehensive strategic partnership and other agreements with China, without satisfactorily consulting with New Zealand.
Jason Young, director of the New Zealand Contemporary China Research Centre at Victoria University in Wellington, said while questions around challenging issues such as the Cook Islands deal and the People's Liberation Army Navy's activities in the Tasman Sea would be asked, there would also be discussion around further high-level visits and trade.
