The Moxa Stick can first be acquired in Nobilia Marketplace by trading 12 Spice, 2 Chickens, and a Jeweled Scarab. If the player trades for the Stick and then trades it away or sells it to the appraiser, it can be purchased for 300 Gold Coins in Ivor Tower Alley. The Alley is inaccessible after Mungola is defeated, so the player must make the purchase beforehand.
The Moxa Stick can be traded for the Gloves of Ra or the Ruby Heart. The player can acquire both of these items other ways as detailed on their own pages, so there is little reason to trade away the Moxa Stick.