  One of the most popular definition for the charm-quark mass is the
charm-quark pole mass $m_c^{\rm pole}$. In this contribution, we extract the
charm-quark pole mass through perturbative Quantum Chromo Dynamics (pQCD)
analysis up to the next-to-next-to-leading order (NNLO) corrections from HERA
Combined and LHCb charm production recent data sets. Then, we investigate for
the first time the charm-quark pole mass $m_c^{\rm pole}$ pure impact, as an
extra pQCD parameter on the proton Parton Distribution Functions (PDFs) at the
NNLO corrections.
