Definition of non-unionize in US English:

non-unionize

(also non-unionise)

verb

rare
  • with object To make non-union in character; to withdraw recognition of a trade union from (a workforce or workplace).

Origin

Late 19th century; earliest use found in The New York Times. From non-union + -ize.

Pronunciation

non-unionize

/nɒnˈjuːnɪənʌɪz/