We have studied the temperature dependence of the upper critical fields, µ0Hc2, of KxFe2−ySe2−zSz single crystals up to 60 T. The µ0Hc2 for H ab and H c decrease with increasing sulfur content. The detailed analysis using Werthamer-Helfand-Hohenberg (WHH) theory including the Pauli spin-paramagnetic effect shows that µ0Hc2 for H ab is dominated by the spinparamagnetic effect, which diminishes with higher S content, whereas µ0Hc2 for H c shows a linear temperature dependence with an upturn at high fields. The latter observation can be ascribed to multiband effects that become weaker for higher S content. This results in an enhanced anisotropy of µ0Hc2 for high S content due to the different trends of the spin-paramagnetic and multiband effect for H ab and H c, respectively.