Hi @danielabc
You simply need to navigate to your components in /admin/customize/themes, find the Icon Header Links component. If it’s not on the latest update, you should see a button to update.
After updating the theme component, in your theme settings where you configure each icon link, simply use a URL to an image source instead of a font awesome icon name.
For example, here is how I have a link set up:
Desktop mobile link, https://upload.wikimedia.org/wikipedia/commons/thumb/5/53/Pok%C3%A9_Ball_icon.svg/1200px-Pok%C3%A9_Ball_icon.svg.png, https://facebook.com, vdm, self
Which renders like so:

