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"air rights" is correct and usable in written English.
It is typically used to refer to the legal rights to use the airspace above a piece of land or building. For example, "The development has to purchase additional air rights in order to add a third floor to the building."
Dictionary
air rights
noun
The right to build over an existing property.
Exact(54)
AIR RIGHTS: Critics say the proposal greatly undervalues the air rights that smaller buildings or nonprofits like churches can sell so that developers can build taller buildings than would otherwise be permissible.
THE VIEW Know your air rights.
But the biggest potential moneymaker was the air rights provision.
So he needed more air rights, and fast.
It also offers 23,940 square feet in air rights.
By city law, air rights cannot be transferred across zones.
It has 6,500 square feet in air rights.
We ended up selling the property but retain the air rights.
Air rights are, in actuality, not fluffy chunks of available or orphaned air.
For God's Love, the air rights transfer was a fluke of good timing.
For One57, for example, Mr. Barnett began buying the air rights some 16 years ago.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com