Is etodolac used for treating fibromyalgia?

Not usually: Etodolac is an antiinflammatory medication. I have not found that this class of medications is particularly useful for fibromyalgia.

NSAID: Etodolac (lodine) is a non-steroidal anti-inflmmatory agent used for many things inflammed. Any soft-tissue pain = myofascial symptom, can benefit from nsaids. Most "fibro" is misdiagnosed and is most likely a form of myofascial soft-tissue pain stemming from primary injury or secondary issues like arthritis. True fibromyalgia doesn't respond well to nsaids.