When the cord moves in the socket ball the iron will go off. You can move the cord around to get the iron to come on but it will not stay on.

Remove the two screws on the back of the iron, for these you will need a special tamper resistance screw driver, or do what I did, use a very fine needle nose pliers and unscrew both, remove the gray translucent cover and pull the white cover from the top (close to the power cord) as soon as you remove it you will have access to the wiring, notice that from the two leads of the cord, one is tied up to one black wire and the other to two white wires, cut the wires as close as you can to the wire nut and remove the cord, then you have two options, get a new cord installed or cut 3 to 5 inches of cord and reconnect. Remove the two screws on the back of the iron, for these you will need a special tamper resistance screw driver, or do what I did, use a very fine needle nose pliers and unscrew both, remove the gray translucent cover and pull the white cover from the top (close to the power cord) as soon as you remove it you will have access to the wiring, notice that from the two leads of the cord, one is tied up to one black wire and the other to two white wires, cut the wires as close as you can to the wire nut and remove the cord, then you have two options, get a new cord installed or cut 3 to 5 inches of cord and reconnect.