How do you remove white heat stains from varnished wood table top?

If it is shellac this may not work, but surprisingly, a method using more heat will most likely make the heat marks vanish.

1st method (most effective) : There are a couple ways to do it. Take a dry towel and lay over the heat marks. Using an iron, set it on high with steam, and let set on the towel over the heat mark for 15 to 30 second intervals, checking the heat mark below during the intervals.

2nd method : Same as 1st method above but without steam.

3rd method : Using an iron set on high, hover the iron over the marks for a couple minutes being careful not to get too close. If this doesn't work after a few minutes try methods 1 and/or 2 above.

These methods can also be varied by lowering the heat setting a bit.