Pots aren't very expensive. Use 60/40 solder (if it is available where you are, otherwise whatever has the lowest melting point) and a 40W iron. Wait until the iron gets very hot, so that it liquefies quicker once you apply the iron. What you don't want to be doing is holding the hot iron against the pot long enough for the shaft of the pot to get hot. It should just be the back of the pot (where you are working) that gets hot. I would say that most cooked pots result from springy bridge ground wires that don't want to sit against the back of the pot when you are soldering, so try to ensure that the wire is placing some pressure down on the back of the pot rather than away from it before you start trying to solder that back on.
With that said I have to go out and repair the harness in my SG now. Both selector switch connections are broken
