Fujikawa, who signed with the Rangers in December after pitching for the Cubs last year, had retired 21 of 25 batters in exhibition games. Chicago sent 12 batters to the plate in the ninth, and Fujikawa's ERA jumped from 1.35 to 13.50.
Rangers starter Derrek Holland, slowed by a sore left shoulder early in spring training, threw 81 pitches. He allowed five runs - four earned - six hits and two walks in 5 1-3 innings. He is slated to start the Rangers' home opener against Houston on April 10.
Ed Lucas had three hits and Carlos Corporan homered.
Matt Sczuur homered leading off Chicago's four-run fifth, and Wes Darvill also homered for the Cubs.
Cubs closer Hector Rondon retired both batters he faced and lowered his ERA to 1.13 in nine appearances.