The scattering cancellation technique (SCT) has proved to be an effective way to render static objects invisible to electromagnetic and acoustic waves. However, rotating cylindrical or spherical objects possess additional peculiar scattering features that cannot be canceled by regular SCT-based cloaks. Here, a generalized SCT theory to cloak spinning objects, and hide them from static observers, based on rotating shells with different angular velocity is discussed. This concept is analytically and numerically demonstrated in the case of cylinders, showing that the generalized SCT operates efficiently in making rotating objects appear static to an external observer. Our proposal extends the realm of SCT and brings it one step closer to its practical realization that involves moving objects.