What ACF fields are you trying to show on the archive pages? How do you want to display them in your template? Where are they coming from?
I usually try to keep all of my data processing in my controllers and then pass to my blades only what they need. For archive pages, you can loop through all the posts in your controller, get ACF fields, modify them, etc, and then compose a new array that you pass to your archive to iterate over. Example: The right way to run multiple WordPress loops