The MEPs said Ireland should fight to get the EU bodies based in Britain which will have to leave as a result of the Brexit vote.
Speaking ahead of a crunch meeting today between EU leaders on the fallout from Brexit, Brian Hayes said Ireland has a lot to benefit from with a British exit.
He said Taoiseach Enda Kenny could have a unique role in acting as a “bridge” between Britain and Europe in exit negotiations.
“There are a lot of agencies — the European Banking Authority is one — which [are] based in London which can’t stay in London,” said Mr Hayes, a Fine Gael MEP for Dublin.
“Its chairman said before the referendum that if there is a Brexit the EBA would move because if it is not a member of the European Union you can’t have the European Banking Authority in London.
“I think a eurozone country that speaks English which has 10% of its GDP in financial services is the kind of country that they would be looking at.
“So there is always opportunity and there is opportunity on the [foreign direct investment side.”
This was echoed by Ireland South MEP Deirdre Clune, who said she is lobbying for EU agencies in the UK to be moved to Ireland.
Ms Clune said Cork is “perfectly placed” as a new location for the European Medicines Agency. “Cork has an international airport on its doorstep and a top-class reputation as a pharmaceutical centre of excellence,” she said.
“Cork is home to some of the largest pharma companies in the world, including Pfizer and Eli Lilly, with third-level institutions, including University College Cork, that have led the way in ground-breaking research in the fields of science and technology.”