Is it effective to remove gallstone using the method, of apple juice, epsom salt, and olive oil with lemon.

No: There is no evidence that any of those dietary methods will have any effect on gall stones.

Wives tale: Olive oil will provoke the gallbladder, and could challenge the possible passage of stones, depending on their size. No drug will be of help. Stones come from a diseased/dysfunctional gallbladder, and with time bring symptoms. You won't fix your gallbladder with this concoction. Avoid fats and oils, and consult a surgeon, sooner than in the (lat)er.