The GAA is currently working on submitting a fresh planning application for the redevelopment of Casement Park in west Belfast.
Sports Minister Carál Ní Chuilín says there is widespread support among the local residents.
The Minister was speaking after meeting a delegation from the Andersonstown Regeneration Committee (ARC), along with the MP for the area, Paul Maskey.
She said: "I am committed to delivering redeveloped stadia for the IFA, Ulster Rugby and Ulster GAA but while the stadia for soccer and rugby are either ongoing or complete, the GAA project has been subject to significant delay and local opposition.
"However, following my meeting today, it is clear that there are very many people in the area who are frustrated by this delay and want the stadium to progress as expediently as possible. They feel that their voice hasn't been heard in the debate surrounding the stadium.
"As well as serving the needs of the GAA fraternity in Antrim and throughout Ulster, ARC is firmly of the opinion that a new Casement Park will have major economic and social benefits for the locality."
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