Polymer-stabilized cholesteric liquid crystals (PSCLCs) with a double-handed circularly polarized reflection band are fabricated by a wash-out/refill method. By removing the low molar weight LCs from the original PSCLC film, desirable liquid crystals (LCs) can be infiltrated into a prefabricated polymer network. The results showed that the memory of the polymer network controls the resulting material properties. The concentration of the prefabricated polymer network also plays a relevant role in the formation of a single-layer cholesteric LC (Ch-LC) structure that has a clear-cut double-handed circularly polarized reflection band. A light-scattering phenomenon occurring in the system alters the reflection properties of Ch-LCs, which is due to the weak anchoring effect of the network when PSCLC film contains a low network concentration. Both kinds of circularly polarized reflection become more obvious with increase in the network concentration, followed by the strong anchoring effect of the network. The technique developed in this study has great applications in industries that require solid optical functional films and coatings.