There are 2 work permits you can apply for to work in Ireland.
In this video I walk you through everything you need to know to apply for a general work permit.
For critical skills employment permit check out my video:
   • Ireland Employment Permit, all you ne...  

References:
Ineligible list of occupations for employment permits: https://enterprise.gov.ie/en/WhatWe...

Critical Skills occupation list: https://dbei.gov.ie/en/WhatWeDo/Wor...

Employment permit online system to apply: https://epos.enterprise.gov.ie/#/app/...

General employment permit checklist of documents needed to apply: https://enterprise.gov.ie/en/Publicat...

Submit a review in case of rejection: http://www.djei.ie/en/publications/su...

Check application processing times here: https://dbei.gov.ie/en/WhatWeDo/Wor...