Under the Cutler protocol, Iron is not recommended as a supplement (page 156 AI). Zinc is recommended as it is anti-mercury and hinders copper accumulation. People following the protocol take supplements all the time, including during chelation rounds.
I can’t remember what other stuff ALA chelates, but I know it causes copper to accumulate, which is one the many reasons why you need to take breaks when chelating, i.e. so the body has time to excrete the copper. And I know DMSA chelate lead but can't remember about ALA. If you search here you will find references (tick the “autism-Mercury” box :
http://onibasu.com/These are Cutler basic supplement for mercury toxic people, to be taken every day, even during rounds.
Buffered vitamin C 1/2 to 2 grams 4 times a day
B complex equivalent to "b25" or "b50" 4 times a day
Zinc 50-100 mg
Magnesium 500-1000 mg in divided doses
Milk thistle extract 4 times a day preferably w/meals
Vitamin E 1000-3000 IU daily
Mixed carotenes, lycopene, etc.
flax 1 tbsp - 15-50g
borage oil 1-4grams
Selenium 200 mcg as selenomethionine.
Chromium picolinate 200 mcg with every meal.
Molybdenum about 1000 mcg a day.
CoQ10 100-400mg
Hydergine 10-20mg/day
I take 10 of those (out of 14)