  The existence of self-similar solutions is discussed in symmetric
teleparallel $f(Q)$-theory for a Friedmann-Lema\^itre-Robertson-Walker
background geometry with zero and non-zero spatial curvature. For the four
distinct families of connections which describe the specific cosmology in
symmetric teleparallel gravity, the functional form of $f(Q)$ is reconstructed.
Finally, to see if the analogy with General Relativity holds, we discuss the
relation of the self-similar solutions with the asymptotic behaviour of more
general $f(Q)$ functions.
