The Brewers right-hander is 9-2 with a 2.82 ERA, but was passed over for this season's Midsummer Classic. He made the American League All-Star team in 2009, when he also captured the AL Cy Young Award as a member of the Royals.
Milwaukee manager Ron Roenicke said Saturday that Greinke deserved an All-Star nod.
"There's some starters having some great years," Roenicke said. "But I would expect [Greinke] to make it. ... He's pitching like an All-Star."
Grienke will toe the rubber Monday in the first tilt of a four-game set with the Marlins at Miller Park. He'll oppose Carlos Zambrano, who pitched like an All-Star for much of April and May, but has tapered off of late.
Zambrano is 0-3 with a 7.88 ERA over his last four starts. After a win on May 18, he sat at 2-2 with a 1.96 ERA. Now, he is 4-6 with a 3.71 ERA.
"Carlos has been great, on the field, off the field," Marlins skipper Ozzie Guillen said. "Obviously he had a couple bad games, that comes with the process, that comes with the season. But he's been good. He likes it here, he's having fun. One thing about Carlos is he's going to give you everything he has that particular day on the field."
In his career, Zambrano is 13-10 in 34 games (31 starts) with a 3.81 ERA against the Brewers.
Marlins: Stanton headed to All-Star Game
Right fielder Giancarlo Stanton will represent the Marlins in the Midsummer Classic. It's the first All-Star nod for the 22-year-old, who is batting .282 with 19 homers and 50 RBIs.
"It is great for this organization, and obviously for him," Guillen said. "That's a personal goal that everybody would like to have. But for the organization, and baseball, you've got new blood, new kids. It's not the same guys all the time."
Over the last eight games, Miami starters have pitched 54 1/3 innings and given up a total of nine earned runs for a 1.49 ERA. During that span, starters have gone seven innings five times, 6 2/3 innings twice and six innings in the other outing.
Brewers: Braun earns ticket to Kansas City
Left fielder Ryan Braun, the reigning National League MVP, made his fifth All-Star team. He's batting .308 with 22 home runs and 55 RBIs.
Braun wasn't voted in as a starter, though he could replace Dodgers outfielder Matt Kemp, who is expected to miss the Midsummer Classic with a strained left hamstring. Braun sat out last season's All-Star Game because of a leg injury.
Miami's Logan Morrison is 4-for-4 with a double, two walks and two RBIs in six career plate appearances against Greinke.
Braun is 0-for-7 in his All-Star at-bats.