I have never hauled submersible wrecks from the seabed, but have recovered lots of other stuff from the same place.
Depending on the weight and bulk of the component, you'd likely do one out of three (at this depth; in shallower waters, you have more options)
a) Small-ish items are simply dropped in a basket attached to the ROV doing the recovery, then brought back to the surface with the ROV.
b) Larger items may be handled by the ROV to a basket suspended from a winch, then hoisted to the surface.
c) If the items are too large for the ROV to handle, it will be used to attach a sling to the item, which is then in turn attached to the hook of a crane/winch, before being hoisted to the surface.
Depending on the weight and bulk of the component, you'd likely do one out of three (at this depth; in shallower waters, you have more options)
a) Small-ish items are simply dropped in a basket attached to the ROV doing the recovery, then brought back to the surface with the ROV.
b) Larger items may be handled by the ROV to a basket suspended from a winch, then hoisted to the surface.
c) If the items are too large for the ROV to handle, it will be used to attach a sling to the item, which is then in turn attached to the hook of a crane/winch, before being hoisted to the surface.