Walt Disney said it has added Carolyn Everson, a veteran technology and media executive, to its board of directors one month after activist investor Dan Loeb sent a letter to Disney Chief Executive Bob Chapek asking him to “refresh” the board.

Mr. Loeb’s hedge fund, Third Point LLC, and Disney said Friday they agreed to a standstill over the makeup of Disney’s board of directors, which means the fund won’t propose its own slate of board members at the company’s next annual meeting.