We report the first measurements of the anisotropic upper critical field
Hc2(T) for K2Cr3As3 single crystals up to 60 T and T>0.6 K. Our results show that the upper critical field parallel to the Cr
chains, Hc2∥(T), exhibits a paramagnetically-limited behavior,
whereas the shape of the Hc2⊥(T) curve (perpendicular to the Cr
chains) has no evidence of paramagnetic effects. As a result, the curves
Hc2⊥(T) and Hc2∥(T) cross at T≈4 K, so that
the anisotropy parameter γH(T)=Hc2⊥/Hc2∥(T)
increases from γH(Tc)≈0.35 near Tc to γH(0)≈1.7 at 0.6 K. This behavior of Hc2∥(T) is inconsistent with triplet
superconductivity but suggests a form of singlet superconductivity with the
electron spins locked onto the direction of Cr chains