This work aims the application of non-extensive statistics, more specifically that proposed by C. Tsallis [1], in the study of the transverse momentum distribution of hadrons composed of charm quarks produced in collisions between heavy ions at relativistic energies. Non-extensive statistics has been very successful in the description of transverse momentum spectra of particles produced in hadronic collisions at high energies and the interpretation of the non-extensive parameter q has been widely discussed. The success of this description might be connected to the degree of equilibrium reached in these collisions, an important condition for a broad understanding of its dynamics. This question is particularly important for heavy quarks in collisions between heavy ions, given its unique role in the investigation of the medium formed in these collisions.