To apply for permanent residency in Australia, applicants must meet several criteria: they must be under age 45; have an occupation on Australia's Skilled Occupation Lists; have proficiency in English with an IELTS band score of 7 or higher; submit an Expression of Interest through the Skill Select system and obtain a minimum of 60 points based on factors like age, education, work experience, and language skills; and present a medical certificate proving good health. Applicants are advised to contact Pathway Visas professionals for assistance with Australian permanent residency visa requirements and services.