A Boston Terrier dries properly with towels, attention to his wrinkles, and no serious heat: his short coat is one of the quickest of any breed to finish, but his flat face makes hot air a genuine risk. The job is short, and the detail is in the folds.
A short coat with two hidden damp spots
A Boston Terrier wears a fine, single, short coat that holds very little water, which tempts owners to call him dry after one pass of a towel. The damp hides where the coat is not: inside the facial wrinkles across his muzzle, under the collar line, in the armpits, and around the base of his screw tail. A Boston Terrier's wrinkles are the headline item, because skin folds that stay moist after every bath become sore and smelly, and this breed's expressive face puts those folds right where you look every day, so there is no excuse for missing them.
Towel work, wrinkles first
A Boston Terrier's drying starts with a soft towel over the whole body, rubbed briskly with the lie of that short coat until the tuxedo markings shine. Then slow down for the face: gently lift each facial wrinkle and blot inside it with a soft, dry cloth or the corner of the towel, drying the fold completely rather than wiping across the top of it. Blot under the collar, in the armpits, and around the tail base the same way, and check his ears with a quick look and a wipe of the visible inner surface while you are there, since bath water finds Boston ears too.
Why this breed skips the hot dryer
A Boston Terrier is a brachycephalic breed, built with a short muzzle that makes breathing and cooling down harder work than for a long-nosed dog. Hot dryer air aimed at a Boston's face, or a long drying session in a warm, steamy bathroom, can push him toward overheating and laboured breathing, and his thin coat gains nothing from the risk. If you use a dryer at all, keep it on the coolest setting, hold it well back, use it briefly on the body only, and stop at once if he pants hard, drools, or sounds raspy; room air and a towel finish this breed perfectly well.
Drying in a warm room, safely
A Boston Terrier finishes drying best in a comfortably warm, ventilated room, loose to move around rather than shut in a crate with warm air blowing at him. Keep him indoors and out of cold drafts while he is still damp, because a short-coated small dog gets cold quickly after a bath, and offer water, since bath time excitement plus warm rooms make Bostons thirsty. Watch his breathing settle back to normal as he dries; a Boston who stays noisy, restless, or unusually tired after a bath needs a calmer routine next time and a vet's advice if it repeats.
Finished, and what to watch afterwards
A Boston Terrier is properly dry when the coat feels dry, every wrinkle blots clean and dry on a fresh cloth, and his breathing is easy and quiet. In the following days, check the wrinkles as part of normal face-wiping; redness, a sour smell, or your Boston rubbing his face on the furniture suggests the folds are staying damp or irritated, and persistent trouble there is a vet conversation. Note how long drying actually took, because the next person to bathe him should know this is a fifteen-minute job done carefully, not an hour with a dryer.
The wrinkle step is the one that gets skipped when bath duty changes hands, so listing it in KinsLe's Care Teams as a named part of your Boston Terrier's bath task, ticked off and timestamped, keeps it from being forgotten.