The Yellow Canaries will be able to enter direct talks with the 27-year-old striker once activating his £7.5 million minimum fee release clause.
Newcastle manager Alan Pardew told the BBC, "There is that clause in his contract and it makes us vulnerable, It's still open in the next window."
Alex Gontran, Ba's agent, went one step further and made it clear that the Senegalese international was unhappy with the way he has been treated and that they will look elsewhere if the situation doesn't change.
Gontran: "Since returning from the Africa Cup of Nations, Demba doesn't understand the management.
"If he continues to be a substitute all season, we'll look at other solutions.
"How could you put your best striker with full confidence on the left wing?
"The choice to put Demba on the left last season was good for the club, because Cisse scored 13 goals.
"But there was a lack of recognition for Demba. It is more difficult to play well when you don't have the confidence of your staff."
Fenerbahçe could potentially double his current wages.