Friends of Lucy chipped in $250 to buy the extra-extra-extra large waterproof and insulated garment to protect Lucy from the cold.
Zoo spokeswoman Debi Winwood says Lucy doesn't need the coat, which Winwood says is more like a blanket.
She says it will be donated to an elephant orphanage in Africa or Asia.
Animal rights groups have been after the zoo for years to move the aging Lucy from a climate they say is too harsh for her.
The zoo says Lucy has been examined by a veterinarian and deemed too sick to travel because of respiratory troubles.
"Lucy's barn is spacious and warm with a heated padded floor. This is not an item required for Lucy's well-being or care," Winwood said Thursday.
"We will gratefully extend the offered blanket to these agencies so the contribution will not be wasted."