The Bundesliga champions signed the Sydney native on a four-year contract from Central Coast Mariners last summer but immediately loaned the attacking midfielder back to the A-League outfit for a year.
However, with Kagawa now having departed for Manchester United, Amini is now being viewed as a direct replacement for the Japan international. Zorc, though, finds such talk unhelpful.
"Putting such a burden on a young player's shoulders does nothing for them," the former Dortmund midfielder told Reviersport.
"We will give the necessary amount of time to Amini, and show the patience you must have with young players."
The 19-year-old, meanwhile, is well aware that he will require plenty of time to adapt to his new surroundings.
"Germany is a whole new world for me," the Australia Under-21 international admitted. "I want to learn as much as I can and become a better player."
Amini is considered one of the most exciting young players his country have produced since Harry Kewell.