The Ruhr giants were not at their best at the commencement of last term, which later forced them to play catch-up with runaway leaders Bayern Munich, who sealed the title in April.
|5/1||Dortmund are 5/1 with William Hill to win the Bundesliga
"You have to be wide awake early in the season and get points. We want to get off to a great start," he told Kicker.
Dortmund face Bayern Munich, who they met a total of five times last season, in the DFL-Supercup on July 27 and Zorc has bemoaned the number of fixtures between the two sides.
"We play them in a week in the Supercup in Dortmund. It might be attractive, but you don't need a duel with Bayern 180 times per year."
BVB new-boy Henrikh Mkhitaryan is set to be out of action for four weeks with an ankle injury but Zorc is confident that the Armenia international's adaptation to his new club will not be hampered.
"Henrikh is already so well integrated that he'll have no trouble adapting when he's ready to play in three or four weeks," he added.