Is there a way that I as a citizen could sponsor my husband's parents?

There is no visa category by which a U.S. citizen may petition for a mother-in-law or father-in-law, nor is there a category by which your husband, as a Lawful Permanent Resident, may petition for his parents. Once your husband may become a U.S. citizen (generally the spouse of a U.S. citizen becomes eligible to apply to become a naturalized citizen as early as two years and nine months after becoming a Permanent Resident), he may sponsor his parents in the process by which they could become Permanent Residents. If your husband's parents may be eligible for an employment-based application, that is another topic that could be explored.

There is no way unfortunately.