Wiktionary
n. A visa status which allows a person to reside indefinitely in a foreign country without acquiring citizenship in that country
Wikipedia
Permanent residency refers to a person's visa status: the person is allowed to reside indefinitely within a country of which he or she is not a citizen. A person with such status is known as a permanent resident.
Usage examples of "permanent residency".
No mention of permanent residency application, and the visitor’.
They were all the constant companions of Tomas since he came to take up permanent residency in Elvandar.
They were all constant companions of Tomas since he came to take up permanent residency in Elvandar.
Unfortunately, our predecessors experienced problems with a few wealthy patients who assumed they could buy permanent residency.