This includes people in Ireland on short-stay visas and those whose permissions have already been extended by the previous notice issued on 20 March.
Minister Flanagan said he wanted to reassure those who are worried about their status in the State.
For international English language students, the extension means that they may continue to work if they wish, but must also re-enrol in an online course of study to adhere to the conditions of their permission.
MEI (Marketing English in Ireland), the representative body for most language schools in Ireland, has confirmed that most colleges are now offering online courses.
The registration office in Burgh Quay in Dublin will remain closed and will only reopen when it is safe to do so, in line with Government’s roadmap.
Normally, up to 450 registration appointments are usually issued for the Burgh Quay office each day.
When it reopens, priority will be given to those seeking to register for the first time.
In 2019, Immigration Service Delivery in the Department of Justice and Equality registered over 100,000 permissions/registrations and registration offices in other districts processed over 85,000 registrations/renewals.
Registration and renewal is an ongoing requirement and over 2,000 people per week could find themselves without a lawful permission to remain in the state, without these measures.
The changes will also apply to immigration registrations and renewals that take place outside of Dublin in local garda stations, thus freeing up members for other operational duties.
Immigration Service Delivery is also considering alternative arrangements for the renewal of registrations.
Initially, priority will be given to those whose Immigration Residence Permission card has expired.
Further updates will be provided on the website, www.inis.gov.ie, once arrangements are in place.