Is it safe for dermatologists to remove small flat moles? What's the safest way to remove it at the dermatologist's office?

yes you can remove moles with excisions or shaves but I suggest you discuss the pros and cons with your physician.  Also pretreat the area with vivatia foam and post treat with led red light (light stim), silicone gel, and anteagemd twice daily with isdin sunscreen.  Best, Dr. Emer.