Label reads "Charge up to 80 amps on discharged 6 or 12 volt batteries", "Boost up to 300 Amps for starting".
If that current is going through the broken selector switch, then the two suggestions made so far, do not seem nearly high enough current rated.
I'd open the charger up, label the wires' position on the switch, take a couple pics of that, then pull the switch and see if there are specs on it and a manufacturer/part #. After searching for that switch or suitably spec'd replacements online, if that doesn't pan out, then I'd see if the switch looks difficult to open, so you can see if that broken stem is a single piece with the plate it turns, or if it is separate and you might be able to substitute something else, like a piece of bolt, the smooth shank section of one, and then for the knob, something with a set screw to hold it on.
That might require a minimal amount of machining the bolt, hard to say how much without seeing it, nor knowing if that is within your wheelhouse. Another alternative might be finding some rod that already has tapped threads on an inner hole. It's hard to speculate what would work, without seeing the switch mechanism.