Fizz, a black and white female cat, was wounded in the incident in Renfrew on August 19.
The seven-month-old kitten managed to crawl home to her owner who rushed her to the vet, where she was found to have a shattered thigh bone and had to have one of her back legs removed.
Owner Elaine Boyle said: "Aside from the obvious pain, Fizz has been left traumatised which is truly heartbreaking. She is recovering from her amputation but is scarred physically as well as emotionally.
"This has been very upsetting for the whole family and we are all disgusted that someone could do this.
"So far there have been no leads as to who shot Fizz but we are still hoping some information will come to light."
She added: "I have seen quite a few other reports of airgun attacks in recent times and think it is a gutless and cruel crime."
The Scottish SPCA is now appealing for anyone with information to contact the charity's helpline or police.
Chief Superintendent Mike Flynn said, "This is yet another sickening airgun attack on a defenceless animal which has resulted in Fizz losing a leg.
"Anyone who thinks it is acceptable to use an airgun in this way clearly should not be in possession of such a dangerous weapon."