Work Permits & PR
NEAR FULL EMPLOYMENT ECONOMY
Ireland is a country with an almost full employment economy. What this means is that if you really want to work and try hard enough you are more than likely to get suitable work. https://www.bbc.com/news/articles/cmm2v770ppdo
POST-STUDY WORK PERMIT
After a one-year master’s or Ph.D you can stay back for 2 years to look or work. You are also allowed to stay back for a year after your bachelors degree.

CRITICAL SKILLS & PR
There are several critical skills in Ireland. These are skills in critical demand and the Irish government publishes a whole list. You can see this here.
All occupations on this list are eligible for a PR in two years.
CITIZENSHIP
If you have been working in Ireland on critical skills or general skills you can apply for citizenship after 5 years. Please remember that Irish citizenship is also an EU citizenship that will allow you to work and live in all 27 EU countries + U.K.