Sorry if this is a question that has already been asked. I had equipped some shards to ome of my non-battler pets (God knows why) and was wondering if I could remove them from those pets.
Under the Personal tab there is a Pets section. Don't click Pets but instead click the arrow next to the word Pets so you see a drop down list of your pet's names. Find the name of the pet you want to remove from and click Pet under it. You will get a picture of the pet and a long list of options. Click Edit Battle Weapons and should get a screen where you can remove the shard/potion.