If you’re an Irish citizen living abroad and you want to apply for citizenship of another country, you may need to renounce your Irish citizenship.
You can renounce your Irish citizenship if:
You are over 18 years of age
You live outside the State
You are, or are about to become, a citizen of another country
You need to:
Complete a declaration of alienage Form 13
Get your declaration witnessed (there’s a list of acceptable witnesses on your form)
Submit your form to Immigration Service Delivery.
Source: www.embassyofireland.vn