Answer by taking a quote from the following article:

Indigenous languages of the Americas are spoken by indigenous peoples from Alaska and Greenland to the southern tip of South America, encompassing the land masses that constitute the Americas. These indigenous languages consist of dozens of distinct language families, as well as many language isolates and unclassified languages. Many proposals to group these into higher-level families have been made, such as Joseph Greenberg's Amerind hypothesis. This scheme is rejected by nearly all specialists, due to the fact that some of the languages differ too significantly to draw any connections between them.

Thousands of languages were spoken by various peoples in North and South America prior to their first contact with Europeans. These encounters occurred between the beginning of the 11th century (with the Nordic settlement of Greenland and failed efforts in Newfoundland and Labrador) and the end of the 15th century (the voyages of Christopher Columbus). Several indigenous cultures of the Americas had also developed their own writing systems, the best known being the Maya script. The indigenous languages of the Americas had widely varying demographics, from the Quechuan languages, Aymara, Guarani, and Nahuatl, which had millions of active speakers, to many languages with only several hundred speakers. After pre-Columbian times, several indigenous creole languages developed in the Americas, based on European, indigenous and African languages. The European colonizers and their successor states had widely varying attitudes towards Native American languages. In Brazil, friars learned and promoted the Tupi language. In many Latin American colonies, Spanish missionaries often learned local languages and culture in order to preach to the natives in their own tongue and relate the Christian message to their indigenous religions. In the British American colonies, John Eliot of the Massachusetts Bay Colony translated the Bible into the Massachusett language, also called Wampanoag, or Natick (1661-1663; he published the first Bible printed in North America, the Eliot Indian Bible. The Europeans also suppressed use of indigenous American languages, establishing their own languages for official communications, destroying texts in other languages, and insisting that indigenous people learn European languages in schools. As a result, indigenous American languages suffered from cultural suppression and loss of speakers. By the 18th and 19th centuries, Spanish, English, Portuguese, French, and Dutch, brought to the Americas by European settlers and administrators, had become the official or national languages of modern nation-states of the Americas. Many indigenous languages have become critically endangered, but others are vigorous and part of daily life for millions of people. Several indigenous languages have been given official status in the countries where they occur, such as Guarani in Paraguay. In other cases official status is limited to certain regions where the languages are most spoken. Although sometimes enshrined in constitutions as official, the languages may be used infrequently in de facto official use. Examples are Quechua in Peru and Aymara in Bolivia, where in practice, Spanish is dominant in all formal contexts. In North America and the Arctic region, Greenland in 2009 adopted Kalaallisut as its sole official language. In the United States, the Navajo language is the most spoken Native American language, with more than 200,000 speakers in the Southwestern United States. The US Marine Corps recruited Navajo men, who were established as code talkers during World War II, to transmit secret US military messages. Neither the Germans nor Japanese ever deciphered the Navajo code, which was a code using the Navajo language. Today, governments, universities, and indigenous peoples are continuing to work for the preservation and revitalization of indigenous American languages.

Did Greenland speak a certain language?
Greenland in 2009 adopted Kalaallisut as its sole official language.