To park on that side, if space and depth allows, it's best u-turn and park stern facing shore. You keep the dock on the right, and much easier to park.

Don't forget that you don't need to take a full sweeping u-turn. Turn hard left to nose straight toward the side of the dock (very slowly) about where the forward cleat would end up when parked, keep the wheel left and reverse briefly, then forward a bit, then reverse. Doing this a few times will spin the boat in place without much movement. Keeping the wheel hard left will keep the counter-clockwise spin. The left turn won't affect reverse at these low speeds. The stern will still pull right.