Coyhaique, also spelled Coihaique in Patagonia, is the capital city of both the Coyhaique Province and the Aysén Region of Chile. Founded by …Coyhaique, also spelled Coihaique in Patagonia, is the capital city of both the Coyhaique Province and the Aysén Region of Chile. Founded by settlers in 1929, it is a young city. Until the twentieth century, Chile showed little interest in exploiting the remote Aisén region. The Carretera Austral southern highway opened in the 1980s.