There's no formal requirement, but hard to do the things a pope needs to do without Latin and Italian. Most modern popes know English, and also the language where they were born. So technically none, but most know 3-4 or more.
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Nowadays, a Pope would be at a disadvantage if he didn't know English, a couple a European languages including Italian, plus ancient Greek and Latin. There are NO specific languages that a Pope must know, although it is assumed that he would know Latin, specifically Church Latin, as it is the official language of the Church.
There is no actual requirement for languages but speaking Latin is a big plus. Generally, the more languages spoken by the potential candidate for the papacy, the better. Most popes have been fluent in several languages.
He must speak at least one language. However, the more languages in which he is fluent, the better. Canon Law makes no rule governing the number of languages a pope must speak. Since Latin is the official language of the Church, it is a big plus to be fluent in that language. Having a working knowledge of both Italian and English is also important but not required.