Yan Gomes put the Indians in front in the top of the first inning with a long homer to left. Following the pitch, Cubs starter Tsuyoshi Wada was removed from the game with tightness in his left groin, and he was taken for a precautionary MRI exam.
Szczur pulled the Cubs even in the bottom of the frame with a solo shot of his own, but it was pretty much all Indians from there.
Jerry Sands' RBI single put Cleveland ahead in the top of the third inning, after Mike Aviles (3-for-4) and Gomes had each reached base. That's when Frazier delivered the decisive blow, a shot halfway up the bermuda-grass hill behind the left-center-field fence.
T.J. House, one of a handful of Indians starters in competition for the two remaining rotation spots, looked sharp, aside from the home run by Szczur. In 4 2/3 innings, House allowed only one other baserunner, while striking out six.
Chicago's Hunter Cervenka struck out three and surrendered one hit over two scoreless relief frames.
Up next: The split-squad Cubs remain separated by 300 miles on Saturday. Kyle Hendricks starts against the A's in Las Vegas at 2:05 p.m CT (live on Gameday Audio), and Edwin Jackson gets the ball in Maryvale against the Brewers an hour later (live on MLB.TV and Gameday Audio). For the club remaining in Arizona, Starlin Castro will play short and hit third. He'll be teamed up with double-play partner Arismendy Alcantara, who is playing second and hitting second.
AJ Cassavell is a reporter for MLB.com. Follow him on Twitter @ajcassavell. This story was not subject to the approval of Major League Baseball or its clubs.