Winger Maximilian Philipp and midfielder Gonzalo Castro have both recently joined the sick list, with Marco Reus and Mario Gotze also sidelined.
Sancho joined Der BVB in the summer from Manchester City, citing the greater opportunities for young players in Germany.
The 17-year-old has made two appearances for the club to date and Zorc admits the injury issues could give him a chance to make his breakthrough.
"We still have a lot of attacking players in Christian Pulisic, Andriy Yarmolenko, Andre Schurrle and Jadon Sancho, who might get closer to the starting formation through [Philipp's] injury," Zorc told Reviersport. "And we hope that with Marco Reus everything will go according to plan."