We study the electronic transport through a quantum dot in the Fermi-edge singularity regime, with emphasis on its non-Markovian attributes. These were quantified by the behavior of current noise as well as the trace-distance-based measure of non-Markovianity and found to be pronounced at low temperatures, where the interplay of many-electron correlations and quantum coherence present in the system leads to significant quantum memory effects and non-Markovian dynamics.