A method of removing a threaded insert from a wall structure is disclosed, where the insert has a flange and an internally threaded barrel. The disclosed method involves: introducing a bracket onto an outer edge of the wall structure, the bracket having a supporting arm with a hole, and the bracket having a plunger positioning arm with a threaded hole. The bracket is positioned such that the supporting arm is located on a first side of the wall structure, the plunger positioning arm is located on a second side of the wall structure, and the flange resides in the hole. A threaded plunger component is actuated to move a distal end section of the plunger component toward an exposed end of the threaded insert. Continued actuation of the plunger component increases force imparted on the exposed end of the threaded insert, until the insert is released from the wall structure.