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This study presents the capabilities of the AXIS telescope in estimatingredshifts from X-ray spectra alone (X-ray redshifts, XZs). Through extensivesimulations, we establish that AXIS observations enable reliable XZ estimatesfor more than 5500 obscured Active Galactic Nuclei (AGN) up to redshift $z\sim6$ in the proposed deep (7 Ms) and intermediate (375 ks) surveys. Notably, atleast 1600 of them are expected to be in the Compton-Thick regime ($\logN_H/\mathrm{cm^{-2}}\geq 24$), underscoring the pivotal role of AXIS in samplethese elusive objects that continue to be poorly understood. XZs provide anefficient alternative for optical/infrared faint sources, overcoming the needfor time-consuming spectroscopy, potential limitations of photometricredshifts, and potential issues related to multi-band counterpart association.This approach will significantly enhance the accuracy of constraints on theX-ray luminosity function and obscured AGN fractions up to high redshift. ThisWhite Paper is part of a series commissioned for the AXIS Probe ConceptMission; additional AXIS White Papers can be found at the AXIS website(http://axis.astro.umd.edu) with a mission overview here: arXiv:2311.00780.

X-ray Redshift for obscured AGN with AXIS deep and intermediate surveys