Parker's last outing came on July 12, meaning he'll face Houston on 10 days' rest. Tommy Milone pitched on July 10 -- and only lasted 2 2/3 innings -- so he'll be working with 11 days between starts.
In his career, Milone is 5-1 with a 3.33 ERA in starts coming off at least six days' rest.
"I think sometimes you feel drained without feeling like there's anything wrong," Milone said. "... Just getting that extra time off obviously helps. I think that's what we're trying to go for right now. Without having to skip a start, we got to push it back a little bit and use the All-Star break to our advantage.
For Parker, the numbers tell a similar tale. He's 12-10 with a 4.29 ERA in 25 starts on normal rest. But with at least one extra day, Parker is 7-4 with a 2.86 mark in 24 starts.
Both pitchers were given Monday through Wednesday off, and they resumed their throwing routine on Thursday, the final day of the All-Star break.
AJ Cassavell is a reporter for MLB.com. Follow him on Twitter @ajcassavell. This story was not subject to the approval of Major League Baseball or its clubs.