<p>We investigate the problem of a non-axisymmetric oscillatory Stokes flow past a sphere satisfying slip boundary conditions, translating and rotating in an incompressible, viscous fluid. We derive generalised Faxen’s laws for the drag and torque exerted on the sphere when it is stationary, as well as when the sphere is undergoing translational and rotational motion. These results are validated by comparing them with the results in existing literature corresponding to no-slip and perfect-slip boundary conditions in steady flows and oscillatory axisymmetric flows, which can be deduced as limiting cases. The influence of the slip parameter on the physical quantities is analysed and illustrated with some examples. Additionally, the scalar functions which are used to represent some singularity-driven, non-axisymmetric flow fields are obtained; these results are new and have not been found previously in the existing literature.</p>