Investor Bill Ackman wants to bring Universal Music Group back to the United States, and he says he has a contractual right to do so.

In a post on X, Ackman said that he plans to centralize his company Pershing Square Holdings at the London Stock Exchange and eliminate its listing on Amsterdam’s Euronext exchange. He adds in the post that “Pershing Square has a contractual right to cause Umg to be listed in the U.S. We will exercise this right and achieve a U.S. listing for Umg no later than some time next year.”

Pershing owns about 10 percent of Umg, the world’s largest music label. While Umg’s main office is in Santa Monica, it is headquartered in the Netherlands and has been listed on the Euronext exchange ever since going public in 2021 in a deal that included Ackman’s firm.

Vivendi, the French media and telecom giant,...