On the bench 102-times capped Scarlets fly-half Stephen Jones comes in for the promoted Hook, who himself brings 57 caps worth of experience to side.
"Time was against Rhys, but we are happy that we have the talent and ability elsewhere in the squad to cover him," said Wales head coach Warren Gatland.
"Rhys has done everything we have asked of him and more during this World Cup, but, when we have players of the calibre and experience of James Hook and Stephen Jones coming into the squad and starting line-up, there is no sense that Rhys's absence leaves us any weaker.
"We know that the people in Wales and the fans that have travelled here are excited about reaching the semi-finals of the world cup and we are too, but beating France on Saturday must be and will be our sole focus.
"The time to reflect and to celebrate will come if we win our next two matches, until that happens our focus on the task ahead must be absolute."
WALES: Leigh Halfpenny; George North, Jonathan Davies, Jamie Roberts, Shane Williams, James Hook, Mike Phillips; Gethin Jenkins, Huw Bennett, Adam Jones, Luke Charteris, Alun Wyn Jones, Dan Lydiate, Sam Warburton (C), Toby Faletau
REPLACEMENTS: Lloyd Burns, Paul James, Bradley Davies, Ryan Jones, Lloyd Williams, Stephen Jones, Scott Williams.