It was 101 degrees at first pitch, the hottest start to a game this season in the majors.
Sabathia was moved up a day in the rotation to start after Michael Pineda was put on the disabled list earlier in the day. He threw 80 pitches through one batter in the sixth inning.
Even as a full moon rose over the field, the temperature was still in the low 90s when the game ended.
A Yankees spokesman said postgame that Sabathia showed no symptoms of dehydration during the game but was sent to the Medical Center of Arlington after cramping while icing in the trainer's room after being taken out.
Rather than having Sabathia fly out with the team, plans were made for him to catch a later flight.
Sabathia gave up five runs, all scoring on three homers, including a three-run shot by Josh Hamilton with two outs in the first inning. Sabathia has allowed 24 homers this season, most in the American League.
"It looked like he would get out of the first, but then he hung a slider to Hamilton," Yankees manager Joe Girardi said. "That was the one big hit that hurt us."
Hamilton delivered a game-ending RBI single with two outs in the ninth, a sharp hit to right off Yankees closer Andrew Miller (0-2).
Information from The Associated Press and ESPNDallas.com contributor Randy Jennings was used in this report.