The traditional ideas of citizenship, both republican and liberal, as well the conceptions of immigrant integration that are deeply rooted in them, are undergoing a serious crisis when we analyse them from the perspective of global migration. In modern multinational states and societies at the super-diversity stage, which are emerging as a consequence of migrations, citizenship viewed through the prism of membership of a country, including the rights and obligations towards the state as well as civic competence, has become a topic of ideological debate and deliberation on the integration of immigrants. The social issues that follow from the assumptions of two basic conceptions: integration as assimilation based on the idea of republican citizenship and multinational policy based on the tradition of liberal citizenship, have enlivened the idea of transnational (cosmopolitan) citizenship. The main thesis of the article, involving the dysfunctionality of the established integration models related to classical ideas of citizenship, has been presented against the background of an analysis concerning changing legislation in terms of migration policies in France and Great Britain. The concept of transnational citizenship has also been related to EU legislation.