  We study the conjugacy class growth function in finitely generated virtually
abelian groups. That is, the number of elements in the ball of radius $n$ in
the Cayley graph which intersect a fixed conjugacy class. In the class of
virtually abelian groups, we prove that this function is always asymptotically
equivalent to a polynomial. Furthermore, we show that in any affine Coxeter
group, the degree of polynomial growth of a conjugacy class is equivalent to
the reflection length of any element of that class.
