The present invention relates to thermoplastic polyurethanes obtainable or obtained by a process comprising the reaction of a thermoplastic polyester (PE-1) with a diol (D1) to give a composition (Z1) comprising a polyester (PE-2), and the reaction of the composition (Z1) obtained in step (i) with an isocyanate composition (I1) comprising at least one polyisocyanate, and with a polyol composition (P1), where the polyol composition (P1) comprises at least one polycarbonate polyol (PC1), and also to a process for the production of the thermoplastic polyurethane. The present invention further relates to a composition comprising a thermoplastic polyurethane of the invention and at least one flame retardant. The present invention also relates to the use of this thermoplastic polyurethane for the production of cable sheathing, and also to films, moldings, rollers, fibers, automobile cladding, hoses, cable plugs, folding bellows, drag cables, cable sheathing, gaskets, belts or damping elements comprising this thermoplastic polyurethane.