After patchy group stage displays that saw losses to New Zealand and Tonga along with rumours of player discontent, Les Bleus rebounded to dump out England in their 19-12 victory.
The French also produced a stunning performance in the 2007 World Cup when they knocked New Zealand out of the quarter-finals only to lose to England in the semi-finals.
However Edwards is adamant they still pose a very real threat to Wales, who start Saturday's semi-final as favourites,
"I've heard their coach say they have to overcome the obstacle of only having one big performance in them," he said.
"But if you look at France in the Six Nations over the last five or six years I think they have won it the most, which shows they have consistently performed over five games.
"It is in the France team to be consistent and they do have the ability to be consistent."
Yet to name the side to face their Gallic adversaries, youth will face experience on Saturday, as French coach Marc Lievremont announced an unchanged side from the one that sent home England.
The first time he's neglected to tinker with his XV in 43 matches, Lievremont fields a side that boasts the most experience since the one which lost to England in 2007.
But defensive coach Edwards says he has plenty more tricks up his sleeve to counter the threat of a hard-running France back division.
"I think the French, along with everyone else, keep playing to a certain set patterns which you can pick up," he added.
"But I'm sure their attack coach will be adding lots of different patterns and different variations of certain formations that they do.
"It's my job to put my mind into what he's thinking so he doesn't out-fox us."