Understanding anisotropic superconductivity has been one of the major theoretical challenges in the solid state physics. In this paper, we report a comparative study of chiral and non‐chiral p‐wave superconducting states by means of a generalized Hubbard Hamiltonian within the BCS formalism. The single‐electron parameters were obtained by fitting ab initio band structure data supported by de Haas–van Alphen measurements in Sr2RuO4 and the electron correlation parameter was determined by the experimental critical temperature (Tc). This study was carried out by looking at Tc, superconducting gap, Helmholtz free energy, and electronic specific heat. The results show that both chiral and non‐chiral p‐wave superconducting states possess the same Tc but different superconducting energy gaps. Moreover, both states have almost the same Helmholtz free energy, which leads to their possible coexistence. Finally, the calculated electronic specific heats without adjustable parameters for both p‐wave superconducting states are compared with the experimental data obtained from Sr2RuO4, observing a better agreement for the non‐chiral case for temperatures much lower than Tc.