Based on the modified effective Hamiltonian for the system which is made up of a degenerate Λ-type three-level atom and a single-mode coherent state cavity field,the wave function of the system for the arbitrary initial states is derived by means of matrix forms. Through changing the interaction time,the entangled state of an atom-field is prepared. A feasible scheme is proposed to probabilistically teleport superpositions of even and odd coherent states of the cavity field by using the entangled state of a degenerate Λ-type three-level atom interacting with a coherent state cavity field of large amplitude under a far-off resonant condition. By performing Bell state measurement, the superpositions of even and odd coherent states of the cavity field can be successfully achieved with a total probability of 0.25.