Solution,
Free electrons move randomly within a conductor. Each moving electron will experience a magnetic force based on the Lorentz force equation given as:

$$\begin{gathered} F=evB\sin \left(\theta \right) \\ where, \\ e is the charge of the electron \\ v is the velocity of the electron \\ B is the applied magnetic field \\ \theta is the angle between v and B \end{gathered}$$
Since, in the absence of an applied potential, such movement of free electrons doesn't constitute a net current in the conductor. So, the conductor as a whole will not behave as a current element in such a case and hence, the magnetic force acting on it will be zero.