This thread is resolved. Here is a description of the problem and solution.
Problem: I am trying to display a link in a widget to an URL that should not change depending on the language version. Solution: Add one widget (with the HTML code) and select it to be displayed in all the languages. Once you do this, just simply go to Dashboard → WPML → String translation, search for the widget content, and translate it for the other languages.
This is the technical support forum for WPML - the multilingual WordPress plugin.