Yes, a cat can eat carrot puree in a small amount, if it is cooked, plain, and completely unsweetened. Serve a spoonful as an occasional extra, over her complete food or in a small dish beside it. The puree form is precisely what makes carrot manageable for a cat: a firm raw chunk is hard, angular, and a genuine choking risk for a small mouth, while cooking and pureeing turn the same vegetable soft and spoonable, with nothing left to lodge or be wrestled with.
Making Puree That Stays Plain
Peel or scrub fresh carrots, chop them, and simmer or steam them in plain water until they are thoroughly soft all the way through, with no firm centre surviving. Mash or blend them with a little of their own cooking water until the texture is smooth, then cool the puree completely before serving. That is the entire ingredient list: carrot and water. No sugar, honey, or syrup, because the cat gains nothing from sweetness and unsweetened is a condition of this answer, not a taste preference. No butter, no salt, no spices, and above all nothing from the onion family stirred in for flavour, because onion and garlic are dangerous for cats and turn a harmless puree into a food to discard. Because the texture hides ingredients completely, bought purees need label reading rather than trust: a smooth orange pot can conceal sweeteners, flavourings, or onion powder. If the label lists anything beyond carrot and water, or you cannot verify what went in, make the small batch at home instead, where the question answers itself.
A Spoonful and What It Brings
A spoonful is the serving, and it is worth keeping that scale. Carrot brings a little gentle fibre and moisture to that spoonful, which is why owners reach for it as a topper for a cat whose meals need a small enticement, but it is not a source of the nutrition a carnivore actually runs on, and it never substitutes for any part of her complete food. Keep it occasional, and keep all extras across the day to a small share of her intake. A puree freezes well in tiny portions, which suits the scale: cook one batch, freeze spoonful-sized amounts, and defrost one at a time instead of keeping a large pot in the fridge all week or serving ever-larger helpings to use it up. Expect the orange colour to be able to tint stool slightly after a serving. Colour from the carrot, in a cat who is otherwise completely herself, is the pigment travelling through, and it fades by the next day.
First Spoonful, Watched Properly
Introduce carrot puree singly, as the day's only new food, and give the spoonful rather than a bowl. Over the following day, look for the usual settling signs: normal stool, normal appetite, normal energy. A cat who laps the spoonful and carries on entirely as usual can have it again occasionally, in the same spoonful amount. Softer stool suggests the fibre was unwelcome at that quantity, and vomiting, persistent loose stool, or a refusal of her ordinary food afterwards are reasons to stop and, if they continue, to talk to your vet. The soft texture also makes puree easy for older cats and cats with fewer teeth to manage, which is a fair reason to prefer this form over any solid carrot preparation.
Noting a Puree Day
A topper served from a shared batch is easy for two people to double up by accident, so the serving benefits from being written down where feeding happens. KinsLe marks each puree serving plainly within Care Teams, helping two feeders avoid doubling a spoonful that was meant to stay occasional.