McDowell says in a statement Wednesday that he's "deeply sorry" that he responded to the heckling fans before the Braves played the Giants on Saturday.
Major League Baseball Commissioner Bud Selig said that although he doesn't have all the facts about what happened, he's troubled by the allegations.
Justin Quinn of Fresno said he saw McDowell make crude sexual gestures at three men during batting practice. Quinn alleges that when he told McDowell that there were children present, McDowell replied that kids don't belong at a baseball park, picked up a bat and threatened him.
The Associated Press contributed to this report