Abstract Quantizing a flat FLRW cosmology in the context of the different modified gravities by Noether symmetry approach is one of the viable ways to consider modified gravity theories. In this context, we explicitly calculate the form of f ( T ) for which symmetries exist, and is shown that the existence of Noether symmetry yields a general solution of the Wheeler–DeWitt equation where can be expressed as a superposition of states of the form e i S . This type of wave function exhibits classical correlations, i.e. the emergent of classical universe is expected due to the oscillating behavior of the solutions of Wheeler–DeWitt equation in terms of Hartle criterion. Hence, we also provide the Noether symmetric classical solutions of f ( T ) cosmological model. According to quantum investigation the square of wave equation loses its energy for expanding universe which satisfies energy conservation law.