It should definitely stay where it's put if you have to let go.
On a side-mount control box the adjustment is normally a screw on the "forwards" side. On the flush side-mount ones, perhaps something similar in the bigger box inside the console.
I've no experience with Suzukis, but all of the ones I've encountered (Mercury/Mariner/Quicksilver and Honda) have been fairly prominent things adjustable without by hand without a screwdriver.
What style of box is it? Side-mount, flush side-mount with the box inside the console or a binnacle-style top-mount one?