No, the Areca Palm should not be exposed to cold weather. In US hardiness zones 10 and 11, Areca Palms are considered hardy, according to the US Department of Agriculture (USDA). However, few nurseries consider these plants hardy in Zone 9, too. Therefore, cold weather, especially frost, can be dangerous for this palm in these US hardiness.  Temperatures below 35 degrees Fahrenheit can be considered too cold for an Areca Palm, but mature trees can handle a few degrees below 30 as well.