The Social Democratic and Labour Party councillor for the area, Paul Doherty, has been trying to raise awareness of the issues.
"Residents in Turf Lodge have been plagued for decades with issues around parking and congestion. The infrastructure is outdated and the roads are not fit for purpose," he said.
"We can’t have a situation where emergency services, be it an ambulance, be it a fire service, can’t get into this area to attend to people who are at real risk."
The Donnelly family have requested meetings with the DfI, Housing Executive and Belfast City Council to discuss practical measures such as double yellow lines.
The DfI confirmed it had received the councillor's request for a site visit and also appealed for drivers to be considerate when they park.
It comes as a new pilot scheme from Belfast City Council aimed at stopping bad parking in south and east Belfast began in October.
Drivers there could face fines and possible prosecution for bad parking.