Can a fan keep a baseball?

Answer 1

Yes. A fan can keep a Baseball that they caught at a game. If the ball happens to be of importance to the player tat hit it, such as a milestone home run, the fan will be escorted away by the stadium's security and a deal will try to be worked out, so the player can have the ball back.

Usually deals will consist of game tickets, autographed photos, baseballs, equipment etc. If it's an historical milestone the fan can hold out for a large sum of money.