This article examines the ways in which third countries can engage with, and respond to, European Union policy-making processes. A novel analytical framework based on the concept of network resilience which consists of an institutional, political and policy dimension is operationalised to understand third country access to European Union policy-making. Empirically, the article examines the experiences of three non-European Union countries, Iceland, the Faroe Islands and Norway in the context of the European Union’s Common Fisheries Policy. The article concludes by presenting a research agenda based on an in-depth analysis of network resilience and reflects on what the findings mean for future research, particularly within the context of understanding the development of UK–EU post-Brexit relations.