We design a nonlinear air-clad chalcogenide As<sub>2</sub>S<sub>3</sub> subwavelength diameter fiber, referred to as nanofiber or nanowire, and calculate the chromatic dispersion in it. The zero dispersion is achieved at the core size of 500 nm for this nanofiber at the telecommunication wavelength of 1.5 $\mu$m. We further present the flattening of the zero dispersion in the telecommunication window by cladding the As<sub>2</sub>S<sub>3</sub> core with borosilicate glass, the thermal properties of which match with those of the As<sub>2</sub>S<sub>3</sub> glass. Zero-flattened dispersion centered at 1.408 <i>µ</i>m wavelength can be tailored for the nanofiber with this new structure when the nanofiber core diameter is 724 nm.
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