Start with the thing the listings never say: Cozumel is flat. The whole island is a slab of uplifted limestone whose highest ground is a rise of perhaps fifteen metres, and there is not a hill on it worth the name. If you are picturing switchbacks and mountain overlooks, that is a different destination. What Cozumel has instead is a middle third covered in low, dense secondary jungle on broken karst, threaded with private ranch tracks that the ATV operators have cleared and maintained. The riding is about surface, not elevation: white dust, exposed limestone, ruts, puddles that turn out to be deeper than they look, and a canopy that closes over the track.
That turns out to be plenty. Most operators run their tracks off the Transversal, the cross-island road, which puts them fifteen to twenty-five minutes from either the cruise piers or the town. A typical tour is three to four hours door to door and folds in two other things: a swim in one of the island's small private caverns, which are limestone chambers with cool, still, startlingly clear water rather than the big open cenotes of the mainland, and a stop at a beach club or snorkel spot on the leeward side to wash the dust off.
The dust deserves its own paragraph, because it decides what you wear. Cozumel's dry stretch runs roughly February to May, and in those months a convoy of quads raises a white limestone cloud that gets into hair, ears, phone ports and every fold of clothing. Ride at the front if you can. After rain, from about June through October, the same tracks turn to red-brown mud and the ride becomes messier and considerably more fun. Either way, do not wear anything you would be sad to see ruined, and take a buff or bandana.
The rules are stricter here than most people expect, and operators enforce them because their insurance depends on it. You must have your physical driving licence with you to drive — a photo on a phone will not do. Minimum driving age is usually sixteen or eighteen depending on the operator. Passengers are generally accepted from six to eight years old, often with a height minimum around four feet. Closed-toe shoes are mandatory and sandals are refused at the gate. Weight limits of around a hundred and ten kilos per person are common. Check the specific numbers against your group before you book, not when you arrive.
One last honest note. ATVs and buggies are not for driving to the beach on public roads here — the tours run on private land and you are transferred to the trailhead by van. And a great many travel insurance policies exclude quad biking by default. Five minutes reading your policy now is cheaper than the alternative.