The extraordinary biocompatibility and mechanical properties of chitinous scaffolds from marine sponges endows these structures with unique properties that render them ideal for diverse biomedical applications. In the present work, a technological route to produce “ready-to-use” tissue-engineered products based on poriferan chitin is comprehensively investigated for the first time. Three key stages included isolation of scaffolds from the marine demosponge Ianthella basta, confirmation of their biocompatibility with human mesenchymal stromal cells, and cryopreservation of the tissue-like structures grown within these scaffolds using a slow cooling protocol. Biocompatibility of the macroporous, flat chitin scaffolds has been confirmed by cell attachment, high cell viability and the ability to differentiate into the adipogenic lineage. The viability of cells cryopreserved on chitin scaffolds was reduced by about 30% as compared to cells cryopreserved in suspension. However, the surviving cells were able to retain their differentiation potential; and this is demonstrated for the adipogenic lineage. The results suggest that chitin from the marine demosponge I. basta is a promising, highly biocompatible biomaterial for stem cell-based tissue-engineering applications.