Ortiz bumped plate ump John Tumpane while protesting third base umpire Jerry Meals' call on a check swing in an April 19 loss to Baltimore.
Boston recalled first baseman Travis Shaw from Triple-A Pawtucket and put him in the lineup Friday, batting ninth. Mike Napoli is starting at designated hitter.
Shaw takes the roster spot of right-handed reliever Edward Mujica, who was designated for assignment Thursday.
Shaw is the son of former All-Star closer Jeff Shaw, who was a teammate of Red Sox manager John Farrell in Cleveland.