Nose moles can be removed safely and sent to a laboratory to determine the type of growth and any need for further treatment.
Raffy Karamanoukian MD FACS
It appears as though the mole on your nose is raised. If this is the case, then it could be shaved off to remove it. Flat moles cannot be shaved off and need to be excised. Both shaving and excising moles can be done safely.
Depending on their size and location, moles can be safely and easily removed by one of two methods: a shave excision or an excision with
suture closure. A dermatologic surgeon typically does both
procedures expertly and can decide which would be best for your particular
mole. A shave excision is a procedure where the mole is actually "shaved
off" at a level just below the surface of the skin. The other method is an
excision with suture closure which uses both dissolving and non-dissolving
sutures to give the best cosmetic result. All methods of surgery will leave a
scar but the trick is to minimize the scar using the proper technique.
It should be safe to remove the mole unless you have preexisting health conditions that would make it unsafe (a primary care physician could give you clearance, if needed). From the photo you shared, it does seem that the mole could be removed. I would recommend you contact a dermatologist or board certified facial plastic surgeon for a consultation to discuss removal specifics.
Best of luck!