Mena was placed on the minor-league 7-day injured list with a right forearm strain Tuesday, Jesse Friedman of GoPHNX.com reports.
Mena was optioned to Triple-A Reno on Thursday.
Mena did not factor into the decision in a win over the Dodgers on Wednesday, allowing four runs on four hits and three walks over three innings while striking out two.
The Diamondbacks recalled Mena from Triple-A Reno on Wednesday.
Mena has joined the Diamondbacks' taxi squad and appears in line to make his major-league debut Wednesday against the Dodgers, Alex Weiner of ArizonaSports.com reports.
Mena was optioned to Triple-A Reno on Sunday.
Arizona general manager Mike Hazen said Mena is "not a finished product" and is expected to start the season at Triple-A Reno, Steve Gilbert of MLB.com reports.
The White Sox traded Mena to the Diamondbacks on Saturday in exchange for Dominic Fletcher, Daryl Van Schouwen of the Chicago Sun-Times reports.
The White Sox selected Mena to their 40-man roster Tuesday, Vinnie Duber of AllCHGO.com reports.