A properly controlled employment permit system requires that permits be issued to a specific employee for a specific job with a specific employer. To do otherwise would not only risk abuse of the employment permit system but would make it much more difficult to ensure that employers observed the employment rights of employees.
In the event that a non-EEA national on a valid employment permit is made redundant, they have a period of 6 months from the date of their redundancy to source another employer and apply for a new employment permit. In the event that they are unable to source another employer within that timeframe, they should contact the Immigration Authorities of the Department of Justice and Law Reform to establish their immigration status beyond that period.
Full details of the policy relating to employees made redundant is available on my Department's website at www.entemp.ie/labour/workpermits/redundant.htm.