In a rotational model, the Hall effect on two‐liquid magnetohydrodynamics plasma flows of ionized gases between two nonconducting horizontal channel plates in a slip regime is researched. The produced magnetic field is omitted under the presumption that the Reynolds magnetic number is low. The modeled governing equations are solved by using the existing analytical method so as to obtain solutions in closed form. We use the first order slip to obtain exact results for the velocity, temperature fields, and hence the rates of heat transfer coefficient. On the basis of different values for the Hartmann number, slip, Hall, and rotation parameters, also viscosity, density, height, and electrical conductivity ratios of the two fluids, a parametric investigation of the velocity, temperature fields is initiated. It was concluded that the velocity declined with the augmented values of Hartmann number and the fluid velocity and temperature profiles in both the zones oscillate with the effect of the Hall parameter. In addition to that, the stimulations are present in the heat transfer coefficient rate with various values of the slip and rotational parameters.