A fitting arrangement for a sliding window or a sliding door has an actuating mechanism that can be arranged on a sliding sash and that is movable at least with a portion in the rebate circumferential direction, and a first control element that is arranged on the portion of the actuating mechanism, and a second control element that is arranged on a transverse slide. The transverse slide has a locking element, and the control elements interact and are tailored to one another in such a way that, upon a movement of the portion in the locking direction, the locking element is moved away from the sliding sash perpendicularly to a main plane of the sliding window or of the sliding door.