袜子 (wàzi) means 'socks' or 'stockings.' It is the standard word for this item of clothing in everyday Chinese. Like 鞋子, it uses the noun suffix 子 which is common for everyday objects.
冬天一定要穿厚袜子,不然脚会很冷。
Dōngtiān yīdìng yào chuān hòu wàzi, bùrán jiǎo huì hěn lěng.
In winter you must wear thick socks, otherwise your feet will be very cold.
我的袜子破了一个洞,得买新的了。
Wǒ de wàzi pò le yī gè dòng, děi mǎi xīn de le.
My socks have a hole in them; I need to buy new ones.
这双袜子是纯棉的,穿起来很透气。
Zhè shuāng wàzi shì chúnmián de, chuān qǐlái hěn tòuqì.
These socks are pure cotton and are very breathable to wear.