There are several elements of UI which can not be hidden at HUD Layout Menu by right-clicking on them (Triangle for PS3/PS4). Those are the following:
1. Progress Bar;
2. Notices;
3. Job Gauges.
Inability to hide them as other HUD elements forces players who have a non-battle HUD preset to shrink those unhidable elements (especially Job Gauges) and plcae them behind a minimap or in the corner of the screen.