Is breast augmentation safe for a patient with asthma?

Generally, if you asthma is under good control having an anaesthetic should be ok. You should get advice from your family or respiratory physician and speak to your surgeon's anaesthetist well in advance of the surgery.
Regards, Dr Steve Merten, Sydney, Australia

it can be safe as log as the asthma is in good control, but you should check with your surgeon.  In my experience it's best to have the patient see their medical doctor and possibly the anesthesiologist also for consultation if indicted.

Healthy patients, with good asthma control and medical clearance, can undergo breast augmentation safely. This risk would have to be weighed against the benefits of the surgery. Discuss your concerns with your surgeon.See the link below for more information. A detailed examination will help delineate the best surgical treatment. In office sizing and digital three-dimensional simulations can help guide your implant choices. Consultation with a plastic surgeon certified by the American Board of Plastic Surgery would be the next best step.