That looks like a drop-in anchor used in masonry. You'll likely have to do some damage to the wall to get it out. Is that plaster on block?

 

Yes plaster on block

 

Those are sleeve anchors, very difficult to remove, you will likely have to damage the wall, not sure why that matters, cause your going to have a hole to patch anyway,

Or you could use a grinder to cut it off flush with the wall, after that hammer it into the wall a bit and plaster over it

 

Maybe use vice grip pliers to unscrew the shaft; punch the sleeve into the wall.

 

The sleeve must have been part of or attached to something else more rigid and in turn attached to building structure.

Otherwise it was never safe to have mounted a TV set on that sleeve; ithe TV, sleeve, and all could have pulled out of the wall and fallen to the floor.

How to remove the sleeve depends on how it was put there originally.

Don't sledgehammer the sleeve further into the wall, you could break something such as cinder block structure behind the wall surface.

 

If the shaft can be unscrewed, use two nuts on the shaft tightened together and then use an open end wrench on the nut closest to the wall and unscrew.

EDIT... then after bolt removal, use a metal drill bit larger than the (tube) anchor and drill it past the surface of the wall, then replaster/fix the holes.

 

If the shaft can be unscrewed, use two nuts on the shaft tightened together and then use an open end wrench on the nut closest to the wall and unscrew.

Might be more efficient / easier than vice grip pliers.

 

Rules vary from place to place, but was this addressed in your Agreement of Purchase and Sale? Are you required to remove it? If so, are you required to repair the wall? Think about the times when you have bought a home and holes in the walls and trim from curtain rods, pictures, etc. If it was listed as an 'exclusion', I'd be tempted to leave it.

 

If that truly is a sleeve anchor, you can hammer the bolt into the wall and that will straighten the anchor back to the shape it was when inserted.
Then it will pull right out.....unless the anchor is bottomed out in the hole.

 

Thanks to all that answered. Thankfully for each the pilot hole was just long enough that I was able to loosen the screw and sink it then knock the sleeve a little further into the wall and spackle over. A little ivory white touch up over the spackle and it should be fine.