The THESAN-ZOOM project is a suite of zoom-in cosmological radiation-hydrodynamic simulations exploring galaxy evolution during the first two billion years of the Universe. It builds on the THESAN project, named after the Etruscan goddess of dawn, symbolic of the cosmic dawn when hydrogen was reionized by the first stars and galaxies. THESAN-ZOOM is designed to link intergalactic, circumgalactic, and interstellar scales at much higher resolution than typically possible in large-volume simulations. A key innovation is a novel radiation-injection scheme that preserves the realistic reionization history predicted by the parent simulation, ensuring unprecedented accuracy in modeling external radiation fields and their influence on galaxies. This is complemented by updated models for stellar feedback and multi-phase interstellar medium physics within the state-of-the-art Arepo moving-mesh hydrodynamics code. The suite consists of 14 target galaxies selected to cover a broad mass range, alongside thousands of lower-mass galaxies captured serendipitously within the zoom-in regions. Additionally, a subset of runs explores variations in the underlying physics to systematically investigate the mechanisms driving early galaxy formation.