Palmieri wants to play more football this year and has been left frustrated by a lack of playing time at Stamford Bridge under Frank Lampard.
The left-back would be open to a return to Italy in the winter market and several clubs from Serie A, where Emerson’s stock is high, have been vying for the player’s signature.
Juventus and Inter Milan have been keeping tabs on him and Napoli are allegedly in talks with intermediaries to set up a deal for him.
But they haven’t made a concrete move for the star and, according to Italian daily newspaper La Repubblica, they’ll have to sell at least one player before signing the former Roma defender.
The Partenopei will need to raise necessary funds and make space on the wage bill before they can move for the Blues star in the winter window.
The Serie A side are considering selling the Algerian star Faouzi Ghoulam in January and are also prepared to listen to offers for first-choice Mario Rui.
Palmieri is waiting for concrete proposals to land on his table before taking a call on whether to part ways with Chelsea.
The west Londoners are keen to sell the player and could be ready to loan him out if the agreement includes an obligatory purchase clause.