Perez (left lat), who hasn't played since April 25, could begin a Minor League rehab assignment in the "next couple weeks," according to Antonetti.
Antonetti said he is still actively working the trade market to make an upgrade to the current team. He said the Indians would be able to take on some additional salary in a potential deal if they needed to.
"I have not limited our focus on potential acquisitions by their contract status," Antonetti said.
Allen Goebel, a 91-year-old Indians fan who attended the third MLB All-Star Game at Cleveland Stadium in 1935, threw out the first pitch before Sunday's game.