FORT MYERS, Fla. — As the Red Sox players and management made final arrangements for today’s departure for its 12-day trek to Japan, a monkey wrench has been thrown into the mix in the 11th hour.

Yesterday morning, Red Sox manager Terry Francona learned that the coaching staffs from both Boston and Oakland will not be given additional compensation. Managers and players will be given $40,000 each as compensation for the extended trip, but it appears the coaching staff will not.

Francona was quite upset with the news, and now there’s confusion as to which organization is responsible — Major League Baseball or the Major League Baseball Players’ Association.

“The only reaction I have is one of bewilderment,” said Brad Mills, the Red Sox bench coach. “I was kind of surprised by the whole thing. Everyone was under the impression we would be taken care of and kind of lumped in with the players. No one had heard or thought any different. Even when the PA came around [during spring training] they said if we hear different, we’ll get back to you.”

It was first brought to the Red Sox’ attention by someone on the A’s staff, wondering if it was being handled differently in Boston. But the coaching staff here knew nothing about it. As far as they were concerned, they would be taken care of.

“When I did hear it [yesterday], I thought ‘This isn’t right,’ ” added Mills. “How does this happen the day before?”

Boston will be giving its coaches a daily per diem increase, from approximately $70 to $200, but that doesn’t seem to appease the staff.

Mills was asked whether the coaching staff had any thoughts about boycotting the trip.

“I don’t know what our options would be,” said Mills. [Boycotting] probably is pushing it to the limit. At this point, no, because that is a drastic measure. We would have to wait and see what the players had to say about it. If [MLB and MLBPA] knew about it all along and they kept it from us, then that would be really disheartening. I’m hoping common sense prevails. That’s what I hope comes out of this.”

Prior to boarding his flight to Japan last night, Red Sox president/CEO Larry Lucchino said he didn’t have a comment on the matter, but added the coaching staff will not receive additional compensation. He said the matter should be taken up with MLB and MLBPA.

Lucchino also pointed out that there’s no difference between playing exhibition games in Japan or in the states, which often happens when the Sox break camp each spring. In recent years, the team has played exhibition games in Atlanta and Philadelphia before starting the regular season.

“They are getting paid for 162 games, not 164,” he said.

Donald Fehr, the executive director of the players’ association would not comment on the matter.

Ordinarily, the MLBPA only represents coaching staffs on team licensing, pensions and World Series shares.

The Red Sox staff is hoping to have some sort of resolution by the time the team leaves after today’s final spring-training game in Florida against the Blue Jays.

When MLB first approached the Red Sox about starting the 2008 season in Japan, the idea was met with much hesitation on the part of the players and staff. After negotiating, the players and staff agreed to represent MLB in Tokyo. If the coaching staff is not compensated for the trip, many Red Sox personnel said they won’t be happy.

smcadam@projo.com