Much effort has gone into realizing laser cooling with solids over the last two decades. Multiple attempts have been made with systems that include rare-earth doped glasses, GaAs heterostructures, CdS nanobelts and hybrid perovskite nanoplatelets. Here we suggest that CsPbBr<sub>3</sub> perovskite nanocrystals may eventually lead to verifiable demonstrations of condensed phase laser cooling. The highest emission quantum yield we have realized in CsPbBr<sub>3</sub> nanocrystal ensembles is 99.9% at room temperature. This value lies above the critical quantum yield for CsPbBr<sub>3</sub>, needed to realize laser cooling. We also find that associated CsPbBr<sub>3</sub> nanocrystal emission up-conversion efficiencies are large and are 75% and 32% for laser detuning energies of 24 meV and 105 meV.