Hamilton, who led off as the designated hitter, started with the walk. He also had an RBI single and stole a base in the seventh inning. He appeared to be running with no problems, even sliding into second base.
"Everything felt OK physically," Hamilton said. "Sliding's fine. I stole third so the media wouldn't think anything was wrong with me."
The Rangers said Hamilton, who has missed all of June, will work out with them Tuesday before their game against the Los Angeles Angels. Hamilton will then fly to Des Moines, Iowa, to join Triple-A Oklahoma City and play multiple games there, including in the outfield.
"What I have to do is just see pitching. There's nothing like game experience," Hamilton said. "I need to make a progression, make some adjustments."
Hamilton, who had surgery June 9, got hurt when he crashed into an outfield wall making a catch May 17. That came less than a week after he came off an earlier stint on the disabled list because of a strained ribcage muscle sustained when he crashed into another wall on another catch.
General manager Jon Daniels has said Hamilton could be back in the lineup as early as this weekend. Hamilton said being back for July 4, which is Saturday, was realistic.
"My legs are sore. I'm getting into the swing of things. But I don't see it being a problem." Hamilton said.
Hamilton, who hit .304 with 32 homers and an AL-high 130 RBIs last season, is hitting .240 with six homers and 24 RBIs in 35 games this season.