Fellow Major Leaguers Adam Jones, Brandon Phillips, Joe Mauer, David Wright and Ryan Braun have already expressed their intentions to play in the tournament.
Ian Kinsler expressed a desire to stay at second base rather than move to first base to Rangers officials last month, but didn't draw "a line in the sand" about it.
According to several reports, the Red Sox want to reduce their three-year, $39 million contract agreement with Mike Napoli to one year based on concerns about the catcher's hip.
The 34-year-old was charged on Thursday with 13 misdemeanor counts of assault with a deadly weapon, vandalism and dissuading a witness from making a report.
The Red Sox remain hopeful that they will eventually finalize their contract agreement with Mike Napoli, who reached a three-year, $39 million deal with the club on Dec. 3.