
Yes, once they meet the general residence and other citizenship requirements as Australian permanent residents.
Because the subclass 888 is a permanent visa, holders are on the standard pathway to Australian citizenship by conferral. They must meet the general residence requirement, including holding a permanent visa for the required period and limiting their absences from Australia.
Applicants then need to satisfy identity, character, and (for most adults) the citizenship test and English language requirements, before being conferred citizenship at a ceremony. Time spent in Australia on the earlier provisional 188 may count toward part of the residence requirement, but you must check the current rules.
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