Why I'm not able to move icons in my desktop?

On macOS versions including macOS 27 Golden Gate, you can freely position items on your Desktop and/or keep them stacked, arranged or sorted, depending on your settings.

If your Desktop icons are in fixed positions and you cannot move them freely, then in Finder with no windows open, select View menu and ensure that Use Stacks is NOT checked, and Sort By is set to None or Snap to Grid:

The other options (Name, Kind, etc.) will automatically sort them.

You can access the same settings with View menu > Show View Options, and make the same changes (Stack By: None, Sort By: None or Snap to Grid).

Note that Snap to Grid allows nearly free placement but snaps randomly positioned items to the nearest grid space.

More info from Apple:

Ways to organize files on your Mac desktop - Apple Support

Align and resize items in icon view on Mac - Apple Support

If none of the above help, then see if the problem is present when you boot in safe mode. That process performs some system cleanup and clears caches, and also disables 3rd party extensions that may cause problems.

Start up your Mac in safe mode - Apple Support

If that does not correct the issue, test in a new user account. A newly-created user account will have all settings at default, and if the issue does not occur in that new account then it provides guidance on what may need to be changed to correct the issue.

Add a user or group on Mac - Apple Support

Once the testing is complete, the new account can easily be deleted.

Delete a user or group on Mac – Apple Support

Those steps will help to isolate the problem.

Remove the anti-malware apps including what seems an Avast remnant, remove Prey, remove the VPNs including Privado and Proton, remove WARP, remove the cleaner app, remove Connectix, ah, whatever, this list is getting way too long, and with remnants going back to 2011 if not earlier, wipe this all and reinstall current, and skip the add-on security apps, cleaners, and “pinky promise” VPNs, etc.

That system is rather extensively modified by a number of nonessential / useless / junk / outdated third party products. The EtreCheck summarizes that observation with certain entries intended to draw your attention.

For example,

System extension blocked - There are system extensions awaiting user approval. ... More than one antivirus app - This computer has multiple antivirus apps installed. ... Clean up - There are orphan files that could be removed. Unsigned files - There are unsigned software files installed. These files could be old, incompatible, and cause problems. They should be reviewed. System modifications - There are a large number of system modifications running in the background. Kernel extensions present - This computer has kernel extensions that may not work in the future.

For another example,

Antivirus software: Apple, AdGuard, and Malwarebytes

That entry should be exactly the following:

Antivirus software: Apple

... and nothing else.

This does not imply any one of the products you chose to install are the "smoking gun" but the fact remains everything you install on a Mac is something that requires thoughtful consideration.

Excerpted from Effective defenses against malware and other threats - Apple Community:

• Never install something without first knowing what it is, what it does, how it works, and how to get rid of it when you don't want it any more.

For example, do you really need the BlackBerry software? Do you know what VPNs are and how they work? Do you want or need "Avast"? (hint: no). The list goes on, and it's a long one. Consider the likelihood of one such modification affecting another, causing apparently random, unpredictable effects.

Those are but a few of the system-modifying factors requiring your attention. There are several other I am completely unfamiliar with.

How would you like to proceed?

Please determine if the same problems occur in "Safe Mode": Start up your Mac in safe mode - Apple Support

It might help to download and run EtreCheck, written by a long-time forum member. The free version is fine. Post the full report using the Additional Text button. No personal information is revealed. 

I tried creating another user and the issue disappeared.

I can't paste the report because is too long for this box.

Luis Laborda wrote:

I tried creating another user and the issue disappeared.

I can't paste the report because is too long for this box.

That suggests a corrupted preference file. To post the report you need to use the additional text button, highlighted in the screenshot that I posted.

I would be happy uninstalling useless software. However, I don’t recall installing anything in the days leading up to the problem starting, so I don’t see how uninstalling that software could help to resolve the desktop malfunction.

Luis Laborda wrote:

I would be happy uninstalling useless software. However, I don’t recall installing anything in the days leading up to the problem starting, so I don’t see how uninstalling that software could help to resolve the desktop malfunction.

Your Mac may have automatically updated to 27.0.1 recently and caused a conflict. A 3rd party app may have updated automatically in the past few days and caused a conflict.

The fact is that what you are experiencing is not normal behavior for macOS, but is a specific issue with your Mac.

According to the information I have been able to gather, it seems that macOS 27.0.1 has a bug that may affect, amongst other things, the functioning of the desktop…

None of the suggestions received have proved effective in resolving the problem. Some of them really don’t make any sense at all.

None of the usual steps worked and yes, the problem occur also in Safe Mode. Thank you.

<redacted as redundant>

Still trying to fix the issue... None of the recommendations worked.

So, what you think? Going back to a previous MacOs version will help? Or would be better to wait for the next update?