You do not need a second person to clean a cat's ears. You need a towel, a surface at waist or lap height, and a body position that keeps the cat from backing out of your reach while leaving both of your hands free. The towel takes the job a helper's hands would have done, the height removes the cat's runway, and the whole routine gets broken into short bursts so there is never time for the cat to build real momentum toward leaving.
Here is the setup I use. A kitchen counter with a folded towel laid flat for grip, a bottle of ear cleaner from my vet, and four or five cotton balls sitting in a small bowl off to the side where a flailing paw cannot send them skittering across the floor. The cat is up on the counter, front paws on the towel, and I'm standing at an angle instead of face-on, with my left forearm resting along the cat's side. Not pressing. Just present, the way you hold a door so it doesn't swing.
Why the floor is the wrong address for this
On the floor a cat has full traction and four directions to bolt. Up on a counter or a table, that changes. Most cats get careful when the ground drops away. They plant their feet, they glance down, they stop planning an exit. The second reason is for me: at counter height I'm not hunched over, my hands are at the level where I can actually feel what I'm doing, and my back isn't screaming by the time I'm done.
The tradeoff is real, though. A cat that panics at height can go off the edge, and a falling cat is a hurt cat. If yours is a leaper, work on a table pushed against a wall, on a bed, or in your lap. Anywhere you are not going to end up catching an airborne animal. I don't do the counter version with a cat I already know will launch.
If the cat will tolerate being held, the lap version is easier than anything. I sit on the floor with my back against the couch, knees bent, the towel bundle along my thighs with the rear end toward my stomach. My lap does the holding. That leaves one hand free to steady the head under the jaw and one hand free to work, which is two more hands than I thought I had the first time I tried this.
The towel is the second pair of hands
Lay a bath towel out lengthwise. Fold one long edge over by about a third. Set the cat's body along the fold, bring the near side over the back, then the far side over that, and tuck the end underneath so it holds itself. Head out. One front leg out.
That free leg is the part people skip. A cat that can push against something and feel it push back settles faster than a cat that cannot move at all. It gives the cat something to do besides thrash. Do not pin the legs, and do not wrap tight enough that you can't slide two fingers under the towel at the cat's ribs. If you wouldn't swaddle a baby that snugly, don't do it to a cat.
The order of operations, in the order I actually do it
Warm the bottle in your hand for a minute first. Cold liquid going into an ear is a shock, and shocks are what make cats decide they hate this forever. Then squeeze the cleaner into the canal. You are filling the opening you can see, aiming down into the vertical part, not jamming the tip in like a caulk gun.
Let go of the head for a second and let the cat shake. That shake does more work than your cotton ball will, and it costs you nothing.
Then massage the base of the ear from the outside. Thumb and forefinger right where the ear meets the head, small circles, rolling the whole ear against the skull. You'll often hear a wet crackle. That is the cleaner loosening debris down near the canal opening, and nothing has gone inside the cat.
You clean by feel as much as by sight
Now the wipe. Cotton ball between your fingertip and the ear, and you go by touch. Working the folds, your finger finds grit that a glance misses entirely: a rough patch on the inner surface of the flap, a crusty line in the crease just above the canal opening. Swap to a fresh cotton ball when one comes away dirty. You are not redistributing anything.
Nothing goes into the canal. Not a cotton swab, not a fingertip, not the tip of the bottle. The canal bends, the swab doesn't, and all you accomplish is shoving debris deeper or poking something that should not be poked.
Short bursts, and an ending you control
Forty-five seconds of work, then stop. Let the towel slacken, let the head go, count to ten. Then a second pass if the ear still needs it.
Cats build momentum the way a wave builds. The second minute of a struggle is worse than the first, and the fourth is worse than both. Two or three short bursts get more cleaning done than one long wrestle, and you both walk away from it.
Watch for the wind-up. The tail starts ticking. The ear you're not working flattens down. The shoulder gathers under your hand. When you see it, that burst is over. You end the burst, not the cat.
Finish with a dry cotton ball over the whole ear to get the wet off, then the towel comes off and the cat's feet hit the floor. Immediately. Treat, and then nothing else happens to that cat for an hour. What the cat is learning is what this event costs, and you want the answer to be: about a minute, and then I'm free. Do one more wipe after the release and you've taught the cat that the ending is a lie.
Which brings me to the rule that matters more than any technique on this page. Two short attempts, and if the cat is still fighting, you are done for the day. Not one more try. Not just the other ear. Stop, put the cat down, come back tomorrow. A cat you wrestled today is a harder cat to handle next week, and you will spend more days than you saved.
When this is not a handling problem at all
Some of it isn't about technique. If the ear is hot to the touch, swollen, putting out dark discharge, or smells like anything at all, that's a vet visit and not a cleaning. If the cat yelps when you touch the base of the ear, holds the head tilted, or scratches at one ear constantly, there's likely an infection or mites, and cleaning at home just moves the problem around the ear rather than out of it.
Same goes for a cat that panics hard. Panting, biting, losing bladder control. That is not a cat that needs a better hold, and no amount of towel work makes that safe. Take the cat in and let a vet tech do it. I've had cats where the clinic finished in ninety seconds what would have taken me twenty minutes and a lot of goodwill at home. There's no failure in that.
How often this actually needs to happen
Not often. A healthy cat with healthy ears keeps them clean on its own. I clean regularly only on the cats that have a reason: the allergy cats, the ones whose vet put them on a schedule, older cats who don't groom as thoroughly as they used to. For everyone else, a check once a week is plenty. Look in, take a sniff, done. Over-cleaning irritates the skin inside the ear and makes things worse, not better.
One last thing about doing this solo. You are not trying to win. You are trying to make one minute of handling uneventful enough that next month's minute is just as uneventful. A cat that lets you do half an ear today is a cat you'll do a whole ear on in a few weeks. A cat you pinned today is a cat you'll be chasing around the kitchen with a towel for a year.