After having Sculptra treatments, is it OK to keep taking anti-inflammatory supplements (like turmeric)?

The cosmetic results of your Sculptra treatments probably won't be significantly affected by use of anti-inflammatory supplements like turmeric.  Although this has not been studied, the stimulation of new collagen formation in the areas treated with Sculptra will probably be unaffected.  Most importantly, I would follow your Dermatologist's post-treatment care plan to ensure best results.

In order to mimimize potential bruising, avoid the following
products 7 days prior to treatment and for up to 7 days after treatment:
Alcohol, Aspirin, Vitamin E, anticoagulants such as Plavix, Coumadin, Fish Oil,
St. John's Wort, Ginkgo Biloba, Ginger, Garlic, Feverfew or non-steroidal anti-inflammatory
products such as Ibuprofen (Motrin, Advil) or Naproxen (Aleve,
Naprosyn). If bruising is persistent or you are worried, set up a follow
up appointment with your dermatologist.Otherwise there is no evidence that anti-inflammatory supplements have any practical effect on collagen production after sculptra injection. These are advanced techniques so be sure to get an
experienced dermatologist or plastic surgeon consultation for recommendations
and treatment options.