We study the global solvability of the initial-boundary value problem which describes a one-dimensional flow of viscous, heat-conducting, and thermodynamically polytropic micropolar real gas through the channel with solid and thermally insulated walls. We first obtain a series of time-independent a priori estimates for the generalized solution of the described problem. Using the extension principle and already obtained local existence theorem, we show that this problem has a solution globally in time, i.e., that for every , there exists a solution to the problem in the time domain .