They now head back to Paris for Saturday's finale with Scotland where they will look to avoid becoming the first French team since 1969 to go winless in the Championship.
And Parra, who has started the last two games, believes les Bleus owe it to the Stade de France faithful after a 16-6 defeat at home to Wales in their only other home clash.
He said: "We have to play with the same continuity that we showed in the second half in Dublin . And we have to win, that remains the most important thing in rugby.
"We have to hold on to the ball, because otherwise we'll be doing a lot of chasing. The Scots like to play, we know that. Maybe a little less over the last few years because they have understood that it tires you out quickly.
"But they are still capable of holding onto the ball for long periods of possession. We're expecting a tough game.
"Even if we had played four good matches up to now, the pressure would be on at the Stade de France.
"When you play in front of your fans, you want to do something special, and to win. In any case we will do everything we can to do so."