remove a recessed light can
Chances are that this fixture was installed at the time of the home's construction. It'll likely have two crossbars that were installed across the gap between the two adjacent roof trusses or floor joists:



Removing it would require access above the ceiling, or you can attempt to cut and disassemble the unit through the hole in the ceiling. If you can release any tabs that secure the can itself to the base plate you may be able to push the can up out of the way, allowing access to the crossbars.

Be aware that there's likely blown or batt insulation above and around the can. Take precautions to not get it in your eyes or any other sensitive or delicate places.