under most circumstances removal of normal moles because a person doesn't like the looks - well that's considered cosmetic and generally not covered by insurance...but check with your insurance company to make certain...
It is possible to have insurance cover the removal if there is a suspicion that it could be abnormal. If it has been there for a long time without changing, the worry for abnormal cell growth may be minimal and the insurance company may view it as a cosmetic procedure. You should find a local dermatologist or surgeon who can see you in person and their office can discuss your case with the insurance company on your behalf. Best of luck