Navi is a female pet name with clear gaming credentials: the fairy companion in The Legend of Zelda: Ocarina of Time (1998), combined with the Sanskrit meaning "new," and a two-syllable sound that works clean and fast in daily use. It's genuinely modern without being invented.
The Zelda Connection
Navi's iconic "Hey! Listen!" became one of gaming's most-quoted lines. Gaming-community owners choosing this name acknowledge the reference while also claiming the appealing sound. The name works even without knowledge of Ocarina of Time, which makes it more durable than an obscure game reference would be.
Sound Fit
NAH-vee is two syllables with a clean opening consonant and an easy vowel ending. It doesn't blend with commands. Shiba Inus and Border Collies, popular with gaming-community owners, carry this name well.
Counter-Reading: The Annoying Fairy Problem
Hardcore Zelda fans have complicated feelings about Navi. The character is beloved and relentlessly teased in equal measure. Naming a pet after her is affectionate or ironic depending on your take. If you want the sound without the gaming reference, Navi as a human name exists in South Asian contexts as a standalone choice.