Green’s Dictionary of Slang

1. (US tramp) to talk persuasively (to), to deceive.

1905		F. Hutchison Philosophy of Johnny the Gent 7: [T]he other evenin’ he captures a derby filly somewhere an’ breezes her into a certain ice cream parlor down the street.
1911		D. Runyon ‘The Lady Member’ 18 Nov. [synd. col.]They’ll be looking for you to breeze a good deal, being a woman.
1914		Jackson & Hellyer Vocab. Criminal Sl. 19: breeze [...] To deceive; to beguile: to occupy one’s attention; to descant loquaciously. Example: ‘She breezed everybody on the line.’.
1931		Irwin Amer. Tramp and Und. Sl. 36: breeze.- [...] To deceive.

2. to chat.

1957

‘Ed Lacy’ Lead With Your Left (1958) 24: Haynes was [...] breezing with a sleepy-looking fat slob named Ace.