Hamilton left after five innings.
Before the game, Hamilton spoke about his return to baseball.
"It's really a small miracle that I got back here because it was a whole, big, long, ugly process," Hamilton said. "I feel like the Lord had his hand on it to get me back here. I feel like I'm in the place I'm supposed to be in now."
Hamilton said he's trying to be open and honest, and hopes people understand he doesn't want to hide behind his mistakes.
He self-reported a cocaine and alcohol relapse during the off-season. That led the Angels to trade Hamilton to the Rangers on April 27.
"The last couple years obviously haven't been what I wanted them to be as a player," he said. "I haven't been that guy. It wasn't like I didn't try to put the work in and be that guy. But there were some distractions away from the field, and those are being resolved."
Detroit Tigers left-hander David Price's next start is being pushed back to Saturday while he recovers from a right hamstring strain.
Price was injured Friday night when he stepped on a bat that had been tossed aside by an umpire in anticipation of a possible play at the plate.
Red Sox shake up roster
Bradley Jr. was batting .343 with one home run and nine runs batted in at Pawtucket, and Wright was 2-1 with a 3.24 earned-run average in four starts.
Craig was batting .135 with one home run and two RBIs in 24 games, and Ross had no record and a 6.17 ERA in 13 relief appearances.
The Toronto Blue Jays put outfielder Michael Saunders on the 15-day disabled list because of inflammation in the left knee and selected utility player
Saunders had surgery in