The Dutchman arrived at the Imtech Arena as a replacement for Thorsten Fink in September, but has led the side to just three Bundesliga victories in 11 fixtures since.
Despite currently sitting 14th and enduring a four-match winless streak in the German top flight, Kreuzer is still confident the club made the right appointment.
"He has been here for three months and has purely brought a new spirit and a certain stability," he is quoted as saying by Bild. "Our coach knows exactly what he has to do.
"With Van Marwijk things will turn out well, "
Hamburg are currently preparing for a series of four mid-season friendlies, including two in Abu Dhabi against Vitesse and Kairat Almaty, and return to Bundesliga action at home to Schalke on January 26.
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