The Diamondbacks selected Groover's contract from Triple-A Reno on Friday.
Groover is set to make his major-league debut after slashing .322/.421/.452 with three home runs, two stolen bases and a 37:43 BB:K over 56 contests for Reno. The 24-year-old has played both corner-infield spots at Reno this season, and the right-handed batter will likely see starts against left-handed hurlers.