Ramirez has three home runs in eight games for Triple-A Round Rock and is 6-for-14 with two home runs in his last three games for the Express, which is off three days for the Pacific Coast League All-Star Game.
Ramirez is currently in Miami visiting his family during the break, his uncle Carlos Ferrera told ESPN Dallas on Monday. Ramirez is scheduled to return to Arlington on Thursday morning, Ferrera said.
Ryan said on Fitzsimmons & Durrett on Monday that when the Rangers start looking around for a right-handed bat, "You have to take him into consideration."
The Rangers return from the All-Star break on Friday against the Orioles. Baltimore is starting left-hander Wei-Yin Chen in that first game.
Ryan, who was in attendance at Monday's Round Rock-Oklahoma City game at Dell Diamond, said he didn't see anything that makes him think Ramirez can't still hit.
When asked about Garza on Monday, Ryan said, "If Chicago actually made him available, you'd have to have a certain amount of interest."
Todd Wills covers the Texas Rangers for ESPNDallas.com.