In metric formalism, Noether symmetry of F(R) theory of gravity in vacuum and in the presence of pressureless dust yields F(R) proportional to R-3/2 along with the conserved current d/dt (a root R) in Robertson-Walker metric and nothing else. However, Roshan and Shojai have claimed in [Palatini f(R) gravity and Noether symmetry, Phys. Lett. B 668 (2008) 238-240] that Noether symmetry in the context of Palatini F(R) theory of gravity admits F(R) proportional to R-s, (where s is arbitrary) in matter domain era in Friedmann-Robertson-Walker 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(R) proportional to R-3/2 along with a conserved current Sigma(0)a[(a) over dot/a + (Phi) over dot/2 Phi] in Palatini gravity. Thus, their claim is not right.