We can do them in most places (fully managed)- subject to verifying final approach track, distances, crossing alts and angle from the box agree with the Jepp within strict tolerances.... It helps that we are GPS primary 99.999% of the time.
Obviously a localizer approach is selected vertically, once the loc is captured.
A selected approach is one where the pilots flying makes inputs to the autopilot (that is actually flying) and managed is where the autopilot takes it's commands from the flight management and guidance system.