Campagnolo bottom bracket cups and cartridges are marked with the thread spec. What does yours show?

"1.37 x 24F" is English thread, and will be a left-hand thread on the drive side (clockwise to loosen).

"36 x 24F" is Italian thread, and will be a right hand thread on the drive side (counter-clockwise to loosen).

"35 x 1" is French thread, and will be a right hand thread on the drive side (counter-clockwise to loosen).

"35 x 1G" is Swiss thread, and will be a left-hand thread on the drive side (clockwise to loosen).