While the fish technically originated in Asia, there is no such species as an Asian carp. A few pet food companies have avoided confusion by focusing on silver carp in their dog food.
Asian carp literally jump into headlines occasionally after one of the fish leaps from the water and slaps a boater, like a Monty Python sketch escaped into the wild. The real problem with Asian carp comes from the competition they present to native freshwater fish and the negative effects that has on fisheries. However, the fish are eaten regularly in their home ranges, and various efforts in the United States have found ways to put the fish on people’s plates. Several pet food and treat companies now use Asian carp in formulations. This helps conservation efforts by creating an economic incentive for harvesting the Asian carp. Read more.
Wall, Tim. “Silver Carp Dog Foods Rebrand Invasive Asian Carp.” PetfoodIndustrycom RSS, PetfoodIndustry.com, 25 June 2021, http://www.petfoodindustry.com/articles/10403-silver-carp-dog-foods-rebrand-invasive-asian-carp.