This page offers all the up-to-date information on Frenzied Pokémon in Pokémon Legends: ARCEUS.
So far, we know that Noble Pokémon seem to be a boss-type Pokémon that you’ll encounter in the story of ARCEUS. The Diamond Clan serve Lord Kleavor the noble Pokémon and the Pearl Clan serve a Lady Pokémon (identity unconfirmed).
There’s something causing Noble Pokémon to become frenzied - which makes them glow gold and run around angrily. When they’re in this state, it seems you’ll need to calm them by throwing balms made of their favorite food. Balms will likely be made using the new crafting mechanic.
In the most recent release of gameplay footage, it shows a gold bar above the Frenzied Pokémon. The bar is depleted the more balms you throw at it to calm it down. And once it’s calm, you’ll be able to engage in a standard Pokémon battle to defeat it.