Domenech has now been replaced by former France captain and Manchester United defender Laurent Blanc while there have been calls for the players who boycotted a training session at the World Cup to be banned from representing their country again.
The Republic of Ireland lost out on a place in South Africa when former Arsenal striker Henry handled the ball in the build-up to the decisive extra-time goal which earned France a 1-1 draw on the night and an aggregate 2-1 win in last year's play-offs.
Following the match in Paris last November, Dunne was distraught with the way his team had been denied a World Cup finals spot.
He said at the time: "Henry admitted afterwards he handled it, but it doesn't make me feel any better. We were cheated."
However, the Aston Villa centre-half, now looking forward to a new season in the Premier League, was able to reflect more positively on the incidents that occurred against France last year.
"It happens," he said. "We weren't there, but we'll try to get to the European Championship and that'll be it."
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