Yes, you can apply for permanent residency (PR) in Canada with an LMIA. While obtaining a Labour Market Impact Assessment (LMIA) and working in Canada can contribute to your overall eligibility for permanent residence, an LMIA itself does not directly lead to permanent residency.
Employers who file an LMIA for PR are essentially confirming their commitment to providing a full-time permanent job to the foreign national when they become a Canadian permanent resident.
The process involves several steps, and various immigration pathways may be available depending on your specific situation. However, having an LMIA does not guarantee permanent residency. You still need to meet the eligibility criteria for the immigration program you are applying for.
For example, if you are applying for permanent residency through the Federal Skilled Worker Program (FSWP), you need to meet the minimum eligibility requirements, such as language proficiency, education, and work experience.