Can a non-Jewish foreigner get permanent residency in Israel?

Yes. Permanent residency in Israel is not limited to Jews or Law of Return applicants. The most common routes for non-Jews are the spousal track (after completing the graduated status process with an Israeli citizen or permanent resident spouse, typically 5-7 years), long-term A/5 holders who have maintained their centre of life in Israel for at least 10 years, and cases approved on humanitarian or special-interest grounds by the Minister of Interior under Section 3A of the Entry into Israel Law 5712-1952.

Each route requires separate applications at the Population and Immigration Authority (PIBA) and involves biometric enrollment. Non-Jews on the spousal track are subject to security checks and may face enhanced scrutiny depending on their country of origin. For more detail, see Permanent Residency in Israel: How Foreign Nationals Qualify and Apply.