The 33-year old Nigerian centre-back will link up with the Canaries for the remainder of the season, returning to the Premier League, where he spent about a decade with Everton.
"This is a league I understand and I hope to give my best to Norwich," Yobo told BBC Sport.
"There were several options but Norwich clearly made their intentions known from the beginning."
Yobo initially joined Fenerbahce on loan from the Toffees in the summer of 2010 before signing permanently two years later.
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