The Ulster/North Leinster IFA chair says he wouldn't like to see the Healy-Raes make up part of the next Government.
It comes as newly elected TD for Roscommon-Galway, Dr Martin Daly, revealed on the Joe Finnegan show that he would prefer not to have the Kerry TDs involved.
It's expected a coalition between Fianna Fáil, Fine Gael, and Independents will be the next make-up of the Government.
Speaking on the Joe Finnegan show, Ulster/North Leinster IFA chairman, Frank Brady, agreed with Deputy Daly's view and had high praise for the newly elected Ceann Comhairle, Verona Murphy.