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Do you also plan to take the computer, monitor, phone, etc with you? The answer to your question is likely the same for them. It's equipment purchased by the company for the purpose of you doing your job.

I have a 43" monitor on my desk and a pair of $200 noise cancelling headphones. I'd sure love to take both with me on my last day in 2 days. But I doubt very much they'll let me.

As others already stated, these items are company property unless some unusual law is applicable, or you paid for it, either directly or as a deduction from salary.

That said, if you believe such item would not benefit any further employee, it is OK to ask if the company is willing to sell it to you.

For example, headphones and microphones that are hard to disinfect, and even mobile phones with visible wear and tear are, in my experience, items that are often sold to employees if they are interested - they are not usable or not appealing for future employees, so it might be better to sell them than to pay for storage. Furniture designed for someone with specific disability may count - and I've seen one guy to walk away from his job with his chair.

And sometimes, just sometimes company can agree to give it for free, if you ask to buy. I knew a person who got his mobile phone for free when he left from a company, and I know a company that sells mobile phones for symbolic fee after two years of usage.

Maybe your company will not sell, but as long as you are asking about buying it back, and are not angry or irritated if they say no, you are acting professionally.

This depends on who paid for the item in question.

If your employer bought it for you, they get to keep it.

If you paid it yourself, or if you received a grant from your health insurance, retirement insurance or some other agency (this is possible e.g. in Germany, to enable you to continue to work, referred to as "Zuschuss zu Hilfsmittel am Arbeitsplatz"), the item may be your property. However, if the company paid a part of the cost, you will have to negotiate with them.

For the process in Germany, see e.g. the information page on Berufliche Rehabilitation (Professional rehabilitation) by the Deutsche Rentenversicherung.

One point, only beause other questions didn't cover it. If the desk is in your house e.g. because you work at home, then the practicalities and cost of the company taking possession of it (assuming it's theirs) may mean that they concede ownership without any argument.

The company may simply 'not care' about it.

It's probably wiser to ask, casually, 'Oh, by the way, do you need the desk back?' just in passing. If you put it in writing someone will have to give an official, binding answer.

Under similar circumstances several years ago I retained items already at home, including:-

A Mac Pro & dual monitors

A digital mixing desk & associated sound input/output devices

A digital piano

A portable keyboard [musical instrument]

A pair of recording studio monitor speakers

Cabling & peripherals for all the above.

All at the time under 3 years old. Total new value perhaps £20,000 at a rough guess.

They simply didn't need them any more & allowed me to keep them. Whoever followed me would just be provided with brand new versions of all of the above.

If you do ask, try to put it into "business terms".

IE: companies buy equipment and put depreciation tracking on them. If the desk has been in use for a long time, then it may have depreciated to the point of being "worthless" to the company, so anything you pay to them would just be money in their pocket.

However, depreciation is dependent on the equipment. Computers may have < 5 years depreciation, because of how quickly computers become obsolete. But, durable office goods, like a desk, may have a very long depreciation schedule, because it's just considered to last forever unless force majeure (act of god, crazy unforeseen destruction, etc) happens.