Francona takes that approach out of respect for Tigers manager Jim Leyland, who is leading the AL this year.
"I'd like to keep that private," Francona said. "I have given it some thought, but I'd like to keep it private. Jim Leyland, I have as much respect for him as anybody in the game. And I've also been through the process, so I know how it works. I know he will leave no stone unturned, I'd be willing to bet. I also know it's an impossible job."
The Indians have a handful of candidates, but none is considered a lock.
Right-hander Justin Masterson is one possibility, considering he entered Tuesday with a 9-5 record, 3.48 ERA and 110 strikeouts in 108 2/3 innings. Other candidates are catcher Carlos Santana (.276, 10 homers, 19 doubles, 32 RBIs, 43 walks, .385 on-base percentage), second baseman Jason Kipnis (.282, nine homers, 19 doubles, three triples, 41 RBIs, 17 stolen bases) and left fielder Michael Brantley (.278, 16 extra-base hits, 37 RBIs).
Francona said that it's impossible for a manager to include all of the deserving players.
"You can't," he said. "You can't, because every team has to be represented. Sometimes one position can take away from something else. That's OK. You just have to know going in that you're not going to have the best 20 or 30 [players], because every team has to be represented. At some point, somebody is going to lose out."
Jordan Bastian is a reporter for MLB.com. Read his blog, Major League Bastian, and follow him on Twitter @MLBastian. This story was not subject to the approval of Major League Baseball or its clubs.