The Canaries' record signing spent last season on loan at French side Saint-Etienne and will now make his home in Spain with Betis.
The 26-year-old striker has only scored one league goal in 25 appearances for the Canaries since his move from Sporting Lisbon in 2013.
TRANSFER | @RvWolfswinkel9 joins @RealBetis_en on a season-long loan. Good luck, Ricky! http://t.co/4RzCTnBHo5#ncfcpic.twitter.com/gGu0FIEpkH
— Norwich City FC (@NorwichCityFC) August 31, 2015