Learn Italian: Nessuno è stanco di sparecchiare. - Nobody is tired of clearing the table.

In Italian, adjectives describing a mental or physical state (like being tired, happy, afraid, or certain) usually require the preposition di before a following infinitive. So, you are always stanco di doing something. Adjectives indicating readiness or tendency (like pronto or abituato) typically take a.

I thought 'nobody' sentences needed a double negative in Italian. Why is there no 'non' here?

You only need the double negative when nessuno comes after the verb (for example: Non è stanco nessuno). When nessuno is placed before the verb as the subject, as it is in this sentence, the non is dropped.

The verb 'sparecchiare' (to clear the table) looks like 'apparecchiare' (to set the table). Are they related?

Yes! In Italian, adding an s- to the beginning of a word often creates its exact opposite. Just like apparecchiare means to set the table, sparecchiare means to un-set or clear it. You will see this s- prefix a lot, like in caricare (to load) and scaricare (to unload).

If this sentence was referring strictly to a group of women, would 'nessuno' and 'stanco' change?