Both are correct
Chloe is a girl's name of Greek origin that means "blooming". It is pronounced in two syllables (KLO-ee).
Chole is a girl's name of English origin that means 'victorious people'. It is pronounced in one syllable (COAL).
Note that Chole is also a type of curry (chickpea curry), pronounced in two syllables ( CHO-lay or SHOW-lay)
"My mission in life is not merely to survive, but to thrive; and to do so with some passion, some compassion, some humor, and some style." -- Maya Angelou (1928-2014)