I mean you have to install something or change a setting which does not work until you turn the computer off and back on again. Doing that with a live environment (booting from an ISO file, USB stick or CD) does not keep those changes like a properly installed OS does, so you can't test if those changes actually work on your machine.
I guess it's also possible there's been a regression... As in, some part of the updates included in Zorin 17.1 have broken something that should actually work. Have you tried booting Zorin 16.3, either Core or Lite?
I tried Core, I think is the most complete ZorinOS version for free. However, what if I install Zorin in my hard drive then? Are you able to help me with that?
Zorin Lite isn't "less complete" than Core, really, it just uses Xfce4 desktop instead of gnome, which is much lighter on the CPU and RAM so works smoother on older / less powerful hardware. It could be something in Core doesn't like your WiFi chip, or something in 17.1 vs. 16.3 has changed and broke compatibility. Not likely, but possible.
The article I mentioned in comment #39 before I suggested trying other linux distributions seems well-written so you can just follow it step-by-step, after installing Zorin.
I have also seen some mention of an Acer kernel module that can block certain WiFi drivers even on machines from other brands like ASUS and HP. If you see acer_wmi in the output of sudo lsmod | grep acer then it may be worth trying this fix. Looks like it should work in a live environment, if that is the correct solution for your issue, as they list a separate command to "make this permanent".
If your WiFi still doesn't work after all of that then I really don't know what else to try.
Install Zorin from USB, the Core version. I pressed Try or Install ZorinOS, the first option.
Then, I set the language (Spanish in my case), the keyboard in LatinAmerica Spanish.
After that it appeared the wifi thing. I don't remember exactly was there, but the "wireless" wifi appeared as a name like my hardware I think. It wasn't any visible wifi yet (if there was supposed to appear).
Filling the rest of the stuff, like installing drivers and third party stuff that I don't remember the whole text again (Install updates while installing Zorin was unavailable, appeared as grey and unselectable)
Format disk and Install Zorin, filling my info like my name, password, then my country and install.
After 1 hour installing, Zorin finally reboots.
After rebooting, WiFi still wasn't working. I had to install the updates anyways, since I couldn't do that in the installation because was disabled.
After 30 minutes installing updates, the wonderful thing happened, N o t h i n g C h a n g e d.
So, I decided to follow the Ubuntu forum, this one my guy sent to me:
Glad to see you got it working! I have no idea what that acer-wmi is or why it would block WiFi drivers on a device that isn't made by Acer, but linux is just fun like that sometimes
EDIT
From this thread, it looks like WMI modules are for mapping the Fn keys on laptop keyboards to system functions, such as toggling WiFi or changing screen brightness.
If linux chooses the wrong WMI for your keyboard - such as acer-wmi on a Dell or HP laptop - this somehow causes the WiFi driver to fail / be blocked in the system. Why? That's an entirely different rabbit hole I don't feel like jumping into first thing in the morning!
Though there are several old bugs about it in the linux kernel, so maybe one day it will stop causing trouble. Or at least the error messages might be improved to point directly at acer-wmi when people do have trouble with it ¯\_(ツ)_/¯