The 21-year-old spent last season on loan at Werder Bremen and had been linked with a move to Bayer Leverkusen earlier in the month as part of the deal which took Andre Schurrle to Stamford Bridge.
But Zorc says that it is the player's wish to join the Champions League runners-up.
Speaking to Ruhr Nachrichten newspaper, Zorc said: "We are interested in the signature of Kevin De Bruyne. We are not at the helm in this respect, of course.
"I am however able to confirm the player does want to make a transfer to our club."
Dortmund have also been linked with Ajax's attacking midfielder Christian Eriksen, with some reports suggesting that a deal had already been struck.
Zorc says that is not the case though, adding: "I have been very surprised to read this."