The semi‐arid Salt and Verde River basins in Arizona are susceptible to Atmospheric River (AR)‐related flooding. To understand the precipitation‐related impacts of climate change on extreme ARs affecting Arizona, a Pseudo‐Global Warming (PGW) method was used. High‐resolution ‘control’ and ‘future’ simulations of five intense historical AR events that affected the Salt and Verde River basins in Central Arizona were carried out using the WRF regional climate model. The PGW approach for future simulations involved adding a temperature ‘delta’ at different vertical levels to the historical initial and lateral boundary conditions of the input data, while keeping constant relative humidity. The ‘deltas’ were calculated using projected changes towards end of the twenty‐first century from an ensemble of nine GCMs for the RCP8.5 scenario. Future simulations showed an overall increase in vertically integrated transport of vapor and upward moisture flux at cloud base over the region for all events. The changes in precipitation at both domain and basin level were highly spatially heterogeneous. Precipitation increased in all future simulations, but in general, this increase remained less than the increase in column‐integrated water vapor. It was found that in most cases, cloud ice content decreased while cloud water content increased, indicating the increased role of warm‐rain processes in producing precipitation in the future simulations. Freezing levels rose by more than 600 m, and this along with increased temperature and greater role of warm‐rain processes led to a decrease of more than 80% in the amount of frozen precipitation during the events.