  In this manuscript, we claim that the newly introduced $\mathcal{F}$-metric
space \cite[\, M.~Jleli and B.~Samet, On a new generalization of metric spaces,
J. Fixed Point Theory Appl, 20(3) 2018]{JS1} is metrizable. Also, we deduce
that the notions of convergence, Cauchy sequence, completeness due to Jleli and
Samet for $\mathcal{F}$-metric spaces are equivalent with that of usual metric
spaces. Moreover, we assert that the Banach contraction principle in the
context of $\mathcal{F}$-metric spaces is a direct consequence of its standard
metric counterpart.
