  We study photon orbits in the background of $(1+3)$-dimensional static,
spherically symmetric geometries. In particular, we have obtained exact
analytical solutions to the null geodesic equations for light rays in terms of
the Weierstra{\ss} function for space-times arising in the context of
scale-dependent gravity. The trajectories in the $(x-y)$ plane are shown
graphically, and we make a comparison with similar geometries arising in
different contexts. The light deflection angle is computed as a function of the
running parameter $\xi$, and an upper bound for the latter is obtained.
