Traditional Unionist Voice assembly member Timothy Gaston has asked the Secretary of State to remove five members of the Parades Commission.
The request follows a decision by the body to prevent this year's Portadown procession from entering Garvaghy Road in Derry City.
Commission officials state that their ruling on the route aligns with every determination issued since 1998.
A commissioner later resigned in connection with the dispute, though unionist parties claim this action was inadequate.
They have expressed a loss of confidence in the commission's ability to manage such matters effectively.
Gaston specifically urged the Secretary of State to take direct steps regarding the composition of the regulatory body.
The incident underscores continuing friction between community groups and the Parades Commission over public order issues.
No further developments were confirmed at the time of reporting.