You can remove the chat widget from the lower right of the portal by editing the portal templates.
In admin, go to Portal > Templates > Layout and edit the layout.html template.
At the bottom of the template you'll see a section labelled <!-- DeskPRO Chat Loader -->. Delete (or comment out) all the code in that section (see image below) to remove the chat widget.
Note that if you wanted to disable chat everywhere, you could disable it from Admin > Chat > Setup.
That would disable chat on the portal and on any websites where you had embedded the chat widget. The advantage of the method explained in this article is that it removes chat from the portal only.
Code to delete to remove chat widget from portal