  Hao Wei et.al. has claimed in $\mathrm{Phys. Lett. \textbf{B707}, 298
(2012)}$ that Noether symmetry in the context of teleparallel $f(T)$ theory of
gravity admits $f(T)\propto T^{n}$, (where $n$ is an arbitrary) in matter
domain era in Friedmann- Robertson universe. But, it has been shown that the
conserved current obtained under the process does not satisfy the field
equations in general. Here, it is shown that Noether Symmetry admits
$f(T)\propto T^\frac{3}{2}$ along with a conserved current $ a \dot a
T^\frac{1}{2}$ in teleparallel $f(T)$ gravity. Thus, their claim is not
correct.
