Name in Japanese C Conner
This is the established spelling used for Conner in Japanese dictionaries, books and media.
Read it one katakana at a time:
Full reading: Konā
In Japanese, foreign names are written in katakana — the angular script reserved for words borrowed from other languages. So on a form, a name tag, a delivery slip or a news article in Japan, Conner appears as コナー. This is the correct and respectful way a non-Japanese name is represented; it is not a kanji "translation". A Japanese reader sees コナー and immediately reads it by its sound, Konā.
Katakana is a syllabary, so English sounds are fitted to the nearest Japanese syllables and every consonant (except ん) is followed by a vowel. That is why Conner becomes コナー rather than a letter-for-letter copy. More than one katakana spelling can be reasonable for the same name, which is why we flag whether a spelling is a long-established one or a natural default.
