Yes, you can buy soppressata from the supermarket. However, if you’re looking for close to the authentic taste, go for soppressata from Slow Food. For the most part, the Italian company has maintained the tradition of making soppressata the right way. If you have an Italian butcher shop in your area, that’s even better. Chances are you may be able to get soppressata and many other varieties of salami prepared traditionally. Keep in mind that the spice mix will be according to the traditions of the family.