In A320 AMM i read that AP will command AP rudder trim order, so the pedals will move or not as the AP rudder trim order?
The pedals will be moved in AP trim operation to "indicate" also the new neutral position to the pilots and, of course, to suppress uncommanded rudder movement during AP disengagement.
The AP or FCS inputs to the rudder for dutch roll compensation or turn coordination (if a roll input is made, the ailerons and the rudder will move, even when the pilot only selects the side stick) is not followed up to the pedals.
Mike
PS: my English-skills aren't the best an i try do get better, so if you think i did "major" mistakes in my explanation -> let me know