"He's still young," Cox said. "He still has a lot of energy and vigor. I don't know what he is going to do."
Cox believes Kasten would make a good Major League Baseball Commissioner once Bud Selig retires in that role.
"He's smart, he knows the game, he's a lawyer, he loves baseball more than anything," Cox said of Kasten. "He knows the inner workings of it. He would be a solid choice, in my opinion."
Asked if Kasten would get along with the Baseball Players Association, Cox said: "It would be like [White Sox manager] Ozzie [Guillen] and [general manager] Kenny Williams. They would do a lot of screaming and yelling, but they would love each other. Stan has dealt with them for so many years. He would understand it all, that's for sure.