SIPTU is calling on the liquidators of Clerys Department store to meet with them.
Concern is mounting amongst workers about when they will receive any monies owed to them.
KPMG has taken over the store following its shock closure on Friday evening, with the loss of up to 400 jobs.
SIPTU Shop Steward Gerry Markey, who has worked at Clery's on O'Connell street for 34 years, said the company should be made pay - and the taxpayer should not suffer because of the shop's closure.
"At the end of the day, we deserve to be paid for what we're owed," he said. "It's not up to the Irish people to pay for someone else doing a runner."
"At some stage, we'll get something out of the Government, but that's going to take a bit of time. These people have gone back to America, and they're happy."
Meanwhile, the Consumers Association of Ireland is calling on the Government to make customers a special priority in Clery's liquidation.
There is currently no legislation to protect people who have paid cash deposits or bought vouchers in shops that go under.
Spokesperson Dermot Jewell said the issue needs to be addressed.
"We would ask the liquidator to see if it's possible to put a priority creditor status on any consumers who either have put down deposits or are holding what are potentially worthless credit notes," he said.