The German FA confirmed the incident, saying they were working on an alternative arrangement for the August 30th match.
Police said the grass was doused on purpose with an unknown substance, turning large patches brown in the middle of the pitch and the two penalty boxes. It was discovered on Monday.
The police do not know who caused the damage.
Finding a stadium in which to play the Bundesliga club had already been a struggle for Hamburg's fourth-tier side Teutonia, with their artificial pitch not eligible for Cup matches.
Hamburg and St Pauli refused to provide their stadiums for the game before Dessau, some 400km away, was chosen.
