Can growing transplanted hairs be susceptible and succumb to the minoxidil sheds?

Even the donor area thins over time.  Evidence of loss in the donor area is a high percentage of resting telogen hair.  Resting hair from the donor area can be shifted into the growing phase by minoxidil, so it can shed.  

Specific medical treatment issues should be discussed with your doctor especially if you are not sure how to use the medication.  Minoxidil does not typically cause shedding.  The Internet accounts of shedding is out of proportion.