James Gunn has faced criticism from Warner Bros. insiders for his management of DC Studios.
He is seen as lacking experience compared to Marvel's Kevin Feige.
Many at DC Studios were pessimistic about leadership before Gunn and Safran took over.
Gunn faced backlash for canceling Henry Cavill's Superman return and scrapping Wonder Woman 3.
He also faced criticism for canceling Gal Gadot's cameo in The Flash and potentially replacing Jason Momoa as Aquaman.
Gunn is promoting The Guardians of the Galaxy Holiday Special and preparing for Vol 3.
DC fans accused Gunn of coldly handling Cavill's departure, but he denies any bad blood.
Gunn suggested he and Cavill could work on non-DC projects in the future.
DC Studios begged Joker director Todd Phillips to take a leadership role before Gunn and Safran.
Gunn and Safran assumed co-leadership of DC Studios in October.