Moles are usually not symptomatic. There may be changes in your mole that require examination or biopsy to source the cause of the itching. Best, Dr. Karamanoukian Los Angeles
It would be best to see someone about this. It can be a variety of things from a benign SK to something more serious (but treatable) like a BCC. Both of those can have scaly appearances that can be "scratched off" and yet will return. Best to see a professional and have it checked appropriately....
To expedite the process, you may need pulsed dye laser, fractional laser, and application of Plato's Scar Serum twice daily. The treatments will help improve results. Best, Dr. Karamanoukian Los Angeles