Johnny Damon -- I'm Not On Speaking Terms with Red Sox Owner

It's been nearly a decade since the break-up, but it seems like still some bad blood between Johnny Damon and Boston Red Sox owner John Henry ... with Johnny saying they're still not on speaking terms.

Damon shed some light on the situation on last night's "Celebrity Apprentice" -- when Donald Trump asked why Damon didn't try to ask Henry for money during a fundraising competition.

Long story short ... Damon says he's not sure they still "love" him out in Beantown and says he hasn't spoken with Henry in a while.

Then there was this exchange ...

Trump: "I think you'd be able to call John Henry. He'd give you whatever you want."
Damon: "He did not do that back in 2005. So ..."