Nani was quoted as saying: “If I receive a good offer I could consider it after all I did enjoy playing in England but we will see after Euro 2016.”
The Portuguese international has been close linked with a return to England just a year after leaving Manchester United for Fenerbahce on a three-year deal.
Nani has been in great form for the Yellow Canaries scoring 10 and providing eight goals in all competitions this season but he does have a £6 million buyout clause option reserved for English, Italian and Spanish clubs.
The experienced winger spent seven years playing in the Premier League winning four league titles and the Champions League during his time at United.
Nani does have another two-years remaining on his current contract and is reported to be happy in Istanbul having settled in with his family.