I'm little confused about the question that you are asking. Is it for cats?
The answer is yes you can grow the grass in the clay/plastic pots. Just make sure you have the drainage pot. They all need is good indirect sunlight and water & it'll grow fast. I grow them for my 7 years old cat. lol.
I've grown grass in a tiny tiny tub under an incandescent desk lamp (didn't know any better, it was part of a larger kit to raise tadpole shrimp but it grew insanely quickly) so yes, you most certainly can.
If you are referring to some kind of cat grass or lemon grass I'm quite sure you can as well as long as it is kept on a sunny windowsill.