New Zealand resettles up to 1500 refugees a year, through the United Nations High Commissioner for Refugees (UNHCR) resettlement programme.
Filippo Grandi, the UN High Commissioner for Refugees, said more than 500,000 people had left Ukraine in the four days since Russia invaded.
Greens foreign affairs spokeswoman Golriz Ghahraman said the Government's response must "focus first and foremost on what we can do to support ordinary people facing crisis".
She said the Government should offer places to 2000 refugees, given the national quota had not been filled for two years, thanks to Covid. She said Auckland's resettlement centre, where refugees are welcomed into the country, could be used as an MIQ facility.
Ghahraman urged the Government to include refugees from all ethnicities, as well as those from rainbow communities.
African students based in Ukraine have reportedly struggled to escape the country because of racist biases of border guards.
Greens immigration spokesman Ricardo Menendez March said Ukrainian nationals based in New Zealand "should have their visas automatically extended, so that they are able to remain here while a war rages in their homeland".
He said that visas should also be expedited quickly to partners and family members of Ukrainians in New Zealand.
"We must not let Immigration bureaucracy get in the way of visas being expedited quickly to partners and family members of Ukrainian people based in Aotearoa," he said.