  We pinpoint that the work about "a new exactly solvable quantum model in $N$
dimensions" by Ballesteros et al. [Phys. Lett. A {\bf 375} (2011) 1431,
arXiv:1007.1335] is not a new exactly solvable quantum model since the flaw of
the position-dependent mass Hamiltonian proposed by them makes it less valuable
in physics.
