Fadeev said these recruits were called up "under threat of criminal prosecution."
Fadeev also criticised those "handing out summons at 2 am as if they all thought we were draft evaders."
Several students told AFP they were given call-up papers, despite Russian authorities promising they would be left out of the recruitment drive.
On Saturday, Putin signed a decree confirming students in secondary vocational and higher education institutions would be exempted from mobilisation.