  The $\mathbb{C}P^N$ extended Skyrme-Faddeev model possesses planar soliton
solutions. We consider quantum aspects of the solutions applying collective
coordinate quantization in regime of rigid body approximation. In order to
discuss statistical properties of the solutions we include an Abelian
Chern-Simons term (the Hopf term) in the Lagrangian. Since
$\Pi_3(\mathbb{C}P^1)=\mathbb{Z}$ then for $N=1$ the term becomes an integer.
On the other hand for $N>1$ it became perturbative because
$\Pi_3(\mathbb{C}P^N)$ is trivial. The prefactor of the Hopf term (anyon angle)
$\Theta$ is not quantized and its value depends on the physical system. The
corresponding fermionic models can fix value of the angle $\Theta$ for all $N$
in a way that the soliton with $N=1$ is not an anyon type whereas for $N>1$ it
is always an anyon even for $\Theta=n\pi, n\in \mathbb{Z}$. We quantize the
solutions and calculate several mass spectra for $N=2$. Finally we discuss
generalization for $N\geqq 3$.
