The consulate in Nuuk is seen as a rebuke of the United States and President Donald Trump's actions.
It is a victory for Greenlanders to see two allies open diplomatic missions in Nuuk, says Jeppe Strandsbjerg, a political scientist at the University of Greenland.
Foreign Minister Anita Anand inaugurated Canada's consulate, but Denmark's Foreign Minister Lars Løkke Rasmussen did not attend the ceremony due to delays.
The French consulate is still looking for a suitable location.
Inuit from Canada also attended the opening ceremony.
"It feels important to support our Inuit compatriots, especially regarding sovereignty," said Minnie Annahatak from Nord-du-Québec.
