Darvish, who will start the Rangers’ March 31 opener against Philadelphia, gave up two runs and four hits in 4 2-3 innings. He struck out three and walked three.
Arencibia hit the first pitch from Zach Putnam over the left-field fence with the bases loaded in the sixth.
Paul Konerko hit a three-run double in Chicago’s five-run seventh.
Prince Fielder and Shin-Soo Choo, both key offseason additions by the Rangers, each doubled and scored a run.
Minor leaguers Brad Snyder and Ronald Guzman also homered for Texas.