Updated : 21/03/2017
For the time being, the United Kingdom remains a full member of the EU and rights and obligations continue to fully apply in and to the UK:
As an EU national, you have the right to work in another EU country, including in the public sector — that is, for example, in state-owned companies, government bodies and public authorities.
Your right to work in some EU countries might be temporarily restricted if you are a national of Croatia.
EU countries may still reserve certain jobs for their own nationals, but only if they involve:
These are typically posts in the diplomatic service, the armed forces, police and security forces, judiciary and tax authorities. But even there, positions not involving the exercise of public authority must be open to other EU nationals. For example, administrative and technical-support jobs do not involve exercising those powers, so those jobs cannot be reserved for a country's own nationals.
To get a job in the public sector, you may need official recognition of your qualifications in the country where you want to work.
Your new country cannot give you less credit for your professional experience just because you gained it in another EU country, when it comes to:
Elisa from France worked as a teacher in France for 10 years before she moved to Italy. Her qualification to work as a teacher was recognised by Italy, but the Italian authorities considered her to be a beginner and put her at the lowest grade of seniority and pay.
If the seniority and pay of teachers in Italy are determined taking account of years of professional experience, Italy must give Elisa the same credit for the comparable experience she acquired in another EU country.