Considering HanRam's struggles to hit for power, Sandoval's health concerns, and question whether Shaw is a long term piece, as he is a stopgap until Rafael Devers or Michael Chavis is MLB ready, you can imagine Boston will be interested in EE.
However, he will cost Boston a pick very likely, plus Boston's budget is a bit tight after this season due to all these bad contracts for HanRam, Sandoval and Porcello (About $190M is already on the books for 2017, assuming Ortiz and Buchholz depart), and the fact they have many other holes to fill in the rotation and bullpen, as Uehara and Tazawa are free agents, and Boston's system doesn't have suitable replacements.