We address the applicability of hybrid quantum-classical solvers for practical railway rescheduling management problems. We build an integer linear model for the given problem and solve it with D-Wave's quantum-classical hybrid solver as well as with CPLEX for comparison. The proposed approach is demonstrated on a real-life heterogeneous urban network in Poland, including both single- and double segments and covers all the requirements posed by the operator of the network. The computational results demonstrate the readiness for application and benefits of quantum-classical hybrid solvers in the a realistic railway scenario: they yield acceptable solutions on time, which is a critical requirement in a rescheduling situation. At the same time, the obtained solutions are feasible and in sometimes suboptimal. Moreover, though they are heuristics they offer a valid alternative and most importantly, outperform classical solvers in some cases.