Why the download does nothing
Chrome OS runs web applications, Android applications, and Linux applications in a contained environment. Windows programs are not on that list.
The file you downloaded is a Windows executable. To Chrome OS it is just data. There is no setting to change and no permission to grant. Nothing on the system could run it.
This is also why every Chromebook download offered under this name is something else. Nobody can package a Windows program for a system with no way to execute one.
The feature already on your Chromebook
Chrome OS has a built-in automatic click function, and almost nobody knows it is there.
It lives in the accessibility settings, under the mouse and touchpad options. Once enabled, it clicks for you when the pointer stops moving. You can set how long it waits first, and what kind of click it performs, including right clicks and dragging.
It was built for people who find clicking difficult or painful. That shapes what it does well. It is not a macro recorder. It cannot repeat a sequence and it cannot type.
What it does do is remove the physical click from repetitive work. Move, pause, it clicks, move on. For a surprising number of the tasks people want an auto clicker for, that is the whole requirement. It is already on the machine, made by the people who made the machine.
Turn it on before you install anything. If it covers the job, you are finished.
Browser extensions
The other common route is an extension that clicks inside a web page.
Extensions are the natural fit for Chrome OS, because most of what happens on a Chromebook happens in a browser. An extension can interact with the page it is running in, and that is genuinely useful for repetitive work on a website.
Two limits are worth understanding before you go looking.
An extension only sees the browser. It cannot click on the shelf, open a system dialog, or touch anything outside a web page. If your task involves the operating system, an extension cannot reach it.
They come and go. Extensions in this category are frequently removed, abandoned, or changed. We are not naming any, because a name we publish today may point somewhere different later. Check when it was last updated, how many people use it, and what permissions it asks for. Be sceptical of any that want more access than the job needs.
The Linux environment
Chromebooks can run a Linux environment, and this is where the technically minded reader is heading.
Inside it you get real Linux automation tools, and those are capable. The Linux page covers what they are and how they differ from a recorder.
The problem is containment. That environment is deliberately walled off from the rest of Chrome OS. A tool running inside it automates things inside it. Reaching out to click something in the browser or on the shelf is not what the design allows.
So this route is right for you if the work itself lives inside Linux. It is not a way to automate your Chromebook generally.
School and work Chromebooks
Most Chromebooks are managed devices, and this needs saying plainly.
On a managed device the administrator controls what can be installed. They decide whether extensions are allowed, and whether the Linux environment can be turned on at all. Several of the options above may simply not be available to you. No amount of searching changes that.
We are not going to publish ways around those controls. Whoever manages the device set those rules, and if they are in your way, asking them is the route that does not end badly.
Two things usually do still work: the built-in accessibility features, and asking for what you need. The automatic click function is part of the accessibility set, which administrators generally leave enabled precisely because people depend on it.
Android applications
Chromebooks can run Android applications, and the Play Store has clicker and automation apps.
Be careful here for a reason specific to Chrome OS. Those apps were written for touchscreens, and on a Chromebook they are running in a windowed environment with a pointer. Behaviour is inconsistent. Some work well, many behave oddly, and a few do nothing at all.
They also face the same containment issue. An Android app on Chrome OS cannot reliably drive things outside its own window. What is available on mobile in general is on the mobile page.
If you actually need this program
Use a Windows machine. That is the honest answer, and it is a short one.
The program is small and free, and the download page publishes a checksum so you can confirm you have the real file. If Windows is not available to you, the built-in click feature above is where to start, and the alternatives page covers the wider picture across every platform.
Frequently asked questions
No. Chrome OS does not run Windows programs. The file will download and then do nothing when you open it.
No, and there cannot be one without somebody rewriting the program from scratch for a different system.
Yes. It is in the accessibility settings under the mouse and touchpad options. It clicks when the pointer stops moving, and you can set the delay and the type of click.
An extension can automate actions inside a web page, but not anywhere else on the system. It cannot reach the shelf, system dialogs, or anything outside the browser.
The Linux environment is walled off from the rest of Chrome OS, so even if something ran in there it could not click anything outside it. The Linux page covers the native tooling.
Check the accessibility settings, which are usually left available. Beyond that, ask whoever manages the device. We do not publish ways around managed device controls.
Because the search has volume and the honest answer is short. A file offered under that name is not this program, because no such file can exist.