The right-hander, who was the club's No. 1 pick (ninth overall) in the 2007 First-Year Player Draft, was 11-8 with a 3.79 ERA in 26 starts for Mobile, which clinched the Southern League title over the weekend.
"It's cool," said Parker, ranked 17th in MLB.com's Top 50 Prospects and second in the D-backs' organization. "The atmosphere is awesome. I just came from Double-A, we won the championship, we celebrated last night. It was a crazy night to find out I'm coming up after a win."
Parker's rise to the big leagues got sidetracked when he underwent Tommy John surgery in 2009. The surgery forced him to miss the entire 2010 season, and the rust showed early this season as he struggled with his command.
"I put together some solid starts in the second half, got a chance to come up here," Parker said.
Parker is expected to compete for a spot in the rotation next spring so the organization wanted to give him a taste of what the Majors were like. Arizona manager Kirk Gibson said it's possible Parker could see a few innings in relief during the season's final nine games.
"Itís been a long road back for Jarrod," Gibson said referring to Parker's rehab. "He started out earlier in the year not very good, because he hadn't pitched. He just needed to pitch. He's kind of started to learn some things and just turned from just being a thrower into more of a pitcher. We thought we was deserving to come up here and experience what we're going through and understand what it's all about in preparation for hopefully a bright future."
To make room for Parker on the 40-man roster, shortstop Tommy Manzella was designated for assignment.