They are cold blooded, so cold blooded...

Cats do pant, but they’re also just better adapted to heat than dogs are.

Smaller frame means less body heat to disperse; As size increases, the volume:surface area ratio heavily skews towards volume. More volume means more trapped heat. By minimizing volume and maximizing surface area (skin) cats are able to effectively stay cool passively.

Cats also have a higher basal metabolism, which means their body temperature is naturally higher. And creatures don’t feel heat in an absolute sense. Temperature is felt relative to your own body temperature. That’s why a warm shower after swimming feels downright scalding, (because you’re cooled down from swimming, then hopped into a warm shower,) or why the regular room temperature bedroom feels chilly when you have a fever (because you’re warmed up from the fever, so the room feels colder than it normally would.) You’re feeling those things relative to your own body temperature. Since cats have a higher base body temperature, they feel warm environments less than we do. This is also why they spend so much time lazing around in patches of sunlight, or snuggled up next to the radiator; Room temperature is comfortable for us, but slightly chilly to them.

Third, they are originally adapted from the desert. This means they also have some quirks, like tolerating high temperatures better, and having a high tolerance for thirst, (the latter often leads to kidney issues later in life, since cats don’t tend to drink enough water even when it’s readily available.)

They inject excess heat into others via claws and teeth

Yeah they panting like dog. Watch this: https://www.youtube.com/watch?v=QM6TWQsWFx4

Cats DO pant like dogs when they get overheated.

Cats can pant, I have seen it happen in times of extreme stress, and is often a bad sign. Like dogs, cats may pant if they are anxious or overheated. Strenuous exercise may be another reason, especially after a huge fight. Once your cat has had a chance to rest, calm down and cool down, this sort of painting should subside. However, even this type of panting is much more rarely seen in cats than in dogs. So, if you’re not 100% positive about why your cat is panting, it’s best to bring her to the vet.

A side note, however, I misread this as "since cat's don't like pants like dogs," and wanted to point out that dogs also do not like to wear pants, before my anti-dyslexia medicine kicked in.

Through their paws for one, and when they lick their coats, the saliva acts like sweat and cools them down as it evaporates. And if it's really bad, they pant.

They release heat however they want and whenever they bloody-well feel like it.

Basically, they breathe with their mouths open, which becomes panting when necessary...

A common cooling mechanism, cats will breathe with their mouth open and tongue out, accompanied by heavy breathing noises, when they're too hot. As the heatstroke worsens, the panting will increase. Panting is a perfectly normal response to overheating and should begin to subside as your cat cools down.

do cats pant?

Cats also have a higher body temperature

Cats do pant, but also run hotter and enjoy higher temperatures than humans (24-26 °C depending on race).

Also, cats have lots of ways to release heat, cats can arrange their fur to release more heat (or burr it to trap more), they lay on cool ground, they can lick themselves for evaporative cooling, and of course seek shade when it gets hot.

We had a hot summer with temperatures of over 30 °C indoors and I got worried my European shorthair would overheat, got them a gel pad that wicks away heat when laid upon, but they thought it was ridiculous and just laid on the concrete floor in the shade whenever too hot and was super comfy and lazy.

I too have seen cats pant on hot days.

If I remember right though, they're originally descended from desert animals, so I wouldn't be surprised if they have a higher tolerance for temperature extremes than dogs do.