Hale, 51, spent six seasons on former Boston manager Terry Francona’s staff, including two years as Francona’s bench coach, before joining the Orioles this season.
He said he hasn’t heard anything from the Red Sox organization regarding the job and one industry source said there hadn’t been a formal interview request for Hale yet.
Hale said he’d have interest, but it’s not something he is considering right now.
“I’d have to think about it, no question, but right now my focus is this team, what we’ve accomplished so far and what is ahead of us,” Hale said. “I think I can only be fair to Buck Showalter if my focus is here. I’ve always put things in the order of what it should be. And that’s the Baltimore Orioles and the playoffs.”