What you heard ( you do not give a link) is a simplified classical electricity and magnetism model for the atom, but it has been known for decades that atoms, electrons, and nuclei can only be correctly modeled using quantum mechanics. In the image you show, in classical electricity and magnetism, the electron would lose energy and fall on the nucleus neutralizing it. It is the reason Bohr developed his model demanding angular momentum quantization, which was superseded by the theory of quantum mechanics. See my answer here.
In quantum mechanics, the electrons are in orbitals around the nucleus, not in orbits. Their location is given by a probability distribution given by the complex conjugate squared of the wavefunction, $Ψ^*Ψ$. It is not a consecutive track to be able to contribute with other tracks and add up to a classical current because the electrons are in fixed energy levels about each nucleus.
In contrast, in lattices, one can have a classical microscopic view of current because in the quantum mechanical model of conduction band electrons, they are free to move over all the lattice and thus give a measurable current.