Joe Mauer, who was second in the voting among American League catchers in the last ballot update on Monday, remains an obvious candidate, alongside outfielder Josh Willingham.
But Gardenhire said there are a few other Twins who at least deserve consideration to represent the Twins on July 10 at Kauffman Stadium in Kansas City.
"Willingham has done really well," Gardenhire said. "We've had some guys in the bullpen who have had a really nice first half. I know a guy like Ben Revere might not get noticed or Denard Span. I think Span, man, might've been our best player in the first half this year. He's been consistently getting it done. I'd sure like to see him get a look. Benny is having a heck of a first half. And Joe Mauer is hitting three-whatever and getting it done, and you don't see many catchers doing that."
Among bullpen arms, Gardenhire pointed to left-hander Glen Perkins and right-hander Jared Burton. Burton has a 2.90 ERA with 29 strikeouts in 31 innings, while Perkins has a 2.84 ERA with 41 strikeouts in 31 2/3 innings.
"There are some people out there who have played really well," Gardenhire said. "Josh Willingham has had a heck of a first half and probably gets the most notice on our baseball team. So we've had some good performances. And I'm probably forgetting a couple. Perkins and Burton have thrown really, really well."