The Brazil midfielder is regarded highly by coach Ronald Koeman, however ARA reports the board wish to immediately cash in.
The board's president, Carles Tusquets, has pushed for wage reductions and with Coutinho among their highest and the squad's overload of midfielders, the Brazilian is being put up for sale.
Coutinho was expected to leave Barca last summer after a loan with Bayern Munich, but his late season form with the Germans convinced Koeman to keep him on.
However, now a move away is in the works and a return to the Premier League is favoured by the former Liverpool star.
Arsenal and Tottenham were linked with the midfielder last summer.