Ulster Unionist leader Mike Nesbitt made the request following the revelation by the Detail website.
It found a report, compiled last May, listed more than 20 ways Brexit could damage Northern Ireland's economy.
It  was compiled by officials in the Office of First Minister and Deputy First Minister.
It was not released under Freedom of Information until after the EU referendum was held a year later.
The Speaker, Robin Newton, undertook to examine the matter, but he said another assertion by Mr Nesbitt - that not releasing the report was a breach of the ministerial code - was not a matter for him.
Alliance Leader David Ford confirmed that neither he or his colleague Stephen Farry were consulted over the executive report on the impact of Brexit when they were ministers in the former Executive.
Mr Ford said that if the paper had been made public "perhaps it would have changed some minds in the lead-up to the EU referendum".
Speaking on the BBC's Good Morning Ulster, Deputy First Minister Martin McGuinness said that agreement was required between the two parties at Stormont Castle before a document of this nature could be published.
He said that Sinn FÃ©in had publicly identified the many challenges listed in the Stormont paper.
Mr McGuinness claimed the revelation of the paper was a "non story" as the arguments had been made and the Remain camp had won the day within Northern Ireland, even though the UK-wide decision was in favour of Brexit.
In Northern Ireland, the majority of voters (56%) voted for the UK to stay in the EU in last week's referendum.
But overall, the UK voted to give up its EU membership by 52% to 48%.

Farc leader Ivan Marquez said the group would start by making an inventory of its weapons before handing them over to United Nations monitors.
He said it was a sign of the Farc's "unconditional commitment to peace" after more than 50 years of conflict.
The government has yet to reach a peace deal with the ELN rebel group.
The Farc said its fighters would register their weapons with UN monitors and reveal the location of any stashed explosives.
Almost 7,000 rebels are now gathered in 26 transition zones where they are being registered and offered help to reintegrate into civilian life.
But it took months rather than weeks to get them there because of what the government said were logistical difficulties.
And when they arrived many Farc members complained the camps were unfinished and they had to build their own accommodation.
The Colombian government and the Farc insist that by 30 May - the date set in the peace accord for the disarmament process to be completed - all the guerrillas will be leaving the transition zones and entering civilian life.
But there have been serious delays, and the government and the rebels are trying to reassure Colombians that the peace process is still on track.
According to the original plan, the Farc were supposed to hand over 30% of their arms on 1 March.
But now only 320 rebels are set to disarm by the end of Wednesday, far short of the original target.
However, both the government and the Farc insist the disarmament will be completed in time and that they will meet the May deadline.
The Stormont speaker has been asked to examine Hansard to see if the assembly was misled by ministers over the absence of Brexit contingency planning.
[NEXT_CONCEPT]
Colombia's Farc rebels say they will begin laying down their arms later on Wednesday as agreed in a peace deal signed in November.