An AD issued by the regulator responsible for initial type certification will automatically apply. So no EASA specific AD required and compliance by all EASA aircraft to the FAA AD is required.
Here's an extract from the UK CAA website (see also CAP 747).
"Aircraft on the UK Register are required to comply with applicable UK ADs, European Aviation Safety Agency (EASA) ADs and those issued by the National Authority of the State of Design."