job - Does obtaining citizenship somewhere help in applying for a faculty position there?

Would obtain the citizenship of a country help to be a more successful applicant for an academic job?

More specifically, for example consider that an international scholar, who currently holds a postdoctoral position, obtains a permanent resident or the citizenship of a country. Would this help to be a more successful applicant for a tenure-track faculty job at universities, such as in US, Europe, China, Japan, Australia, etc? Comparing to those who don’t have the resident permit/citizenship, with a similar background and academic contributions.