
The 30-year-old prop has been a virtual ever present since joining the Giants from New Zealand Warriors ahead of the 2016 season with 53 appearances so far.
Huddersfield managing director Richard Thewlis said: "Sam has been great to have at the club and leaves with our very best wishes for his future and thanks for his superb service to the claret and gold.
"He has an opportunity to continue playing which sounds a fantastic new adventure for him and his family and we sincerely hope that the move works out."
Championship side Toulouse announced the signing of Rapira on their Twitter account on Wednesday morning.
💥 [BREAKING] 💥
— Toulouse Olympique (@TOXIII) September 6, 2017
🉠Un champion du monde signe au TO 🔵⚪ï¸
â–¶ï¸ https://t.co/aMrcmhyus5
📷 John Rushworth pic.twitter.com/jCTyef4CQ7