Citizens in UK If your family member … Home - European Commission. Before Brexit, British citizens could live and work anywhere in the European Union. Find out more about the UK’s points-based immigration system on the UK government website. BREXIT If you moved to an EU member state before 31 December 2020, you can carry on living and working there. After Brexit day on Friday 31 January, nothing will immediately change for European Union (EU) citizens living in the UK, or UK citizens living in the EU. Brexit - Michelle Donelan, Universities Minister. There are estimated to be roughly another 770,000 UK citizens resident in countries operating ‘declaratory’ systems, where UK citizens may not be required to apply for a new residence document, or only once their existing document has expired. British citizens will have until 30 June 2021 to apply for residence status, although some member states have said that they will extend the …