The 21-year-old is currently on loan at Bundesliga 2 outfit St Pauli, where he has notched 12 goals in 24 appearances this season.
The Hammers were rumoured to be interested in the German Under-21 international, but he has revealed that he would prefer to stay in his homeland.
"It's good to see such a club [as West Ham] pick up an interest in your services, but my immediate future will be in Germany," Ginczek told Hamburger Abendblatt.
"I do not want to be loaned out anymore. So far it was the best choice for me, [but] now I would like to permanently gain a foothold at a club."
Ginczek's contract with Die Borussen runs until 2014.