Hinske replaced designated hitter Cliff Floyd, who has a sore right shoulder. Floyd batted .222 with one homer and two RBIs in seven postseason starts.
"Yesterday it was hurting, and to the point it was difficult to sleep," manager Joe Maddon said.
Floyd went 1-for-3 and scored a run in Tampa Bay's 4-2 victory over the Philadelphia Phillies in Game 2, his only World Series action. He hit .268 with 11 homers and 39 RBIs in 80 games during the regular season.
Hinske was on the roster for the Rays' first-round playoff series against the Chicago White Sox. He was left off for the AL championship series and World Series, primarily because Maddon decided to carry versatile rookie Fernando Perez.
Hinske, who won a World Series ring with Boston in 2007, was excited about the move. He batted for pitcher Andy Sonnanstine in the fifth inning and hit a solo drive off Joe Blanton to trim Philadelphia's lead to 5-2.
Hinske hit .247 with 20 homers and 60 RBIs in 133 games this season, although his production decreased dramatically over the final three months. He reiterated he had no hard feelings about being left off the roster for the ALCS and first three games of the Series.
"I've been around the game long enough to know it's not about one player," Hinske said. "You got to be a professional about it."