Garcia boasts a 1.69 ERA and 0.88 WHIP in seven starts (48 innings) this season.
Soler wound up missing over a month with a sprained left ankle.
Schoop originally landed on the disabled list on April 18 after being diagnosed with both a PCL tear and MCL strain in his left knee.
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Josh Hamilton has a .954 OPS in 10 games with the Rangers.