Well I'd suggest that the British historically are masters of the art of 'impudence; gall; ballsy obnoxiousness; in-your-face impertinence; aplomb and confidence' related behaviours. Historically the word would have been 'effrontery', as the OED relates:
Also 8 effronterie, -ary.
[ad. F. effronterie, f. effronté: see effronted.]
Shameless audacity, unblushing insolence. Also concr.
1715 M. Davies Ath. Brit. I. Pref. 28 By Printing those Orthodox Letters he gain'd the Point of making his own Effrontaries to sell the better. 1720 Welton Suffer. Son of God I. v. 100, I express my Resentment..by the superficial Effrontery..of my Brows. 1751 Smollett Per. Pic. (1779) III. lxxx. 65 The happy inheritance of impregnable effrontery. 1814 D'Israeli Quarrels Auth. (1867) 362 Both as modest in their youth as afterwards remarkable for their effrontery. 1858 Robertson Lect. ii. 58 With blasphemy and unscrupulous effrontery.
Hence eˈffronterist [see -ist], nonce-wd, one who displays effrontery.
1776 Adv. Corkscrew ii. 18 He was now become a perfect effronterist.
A 'chap' (at best, but never a gentleman) would be described as having or showing 'effrontery' or more commonly these days (and curiously), 'the effrontery to...' followed by some description of the relevant behaviour or attitude. However, as suggested here, the sort of person using this expression was more likely than not to to be speaking down to the 'lower classes', or to a renegade against the norms of behaviour of the British upper class, and consequently the word 'effrontery' does not readily allow for a person to having pride in having it, or convey any sense of admiration when used in respect of others.
A slightly less pejorative word with a similar sense in British English would be 'brazen', as the OED has it:
Forms: 1 bræsen, 2–7 brasen, 4 brassen, 4–5 brasun, 4–6 brasin, -yn, 5–6 brason, 6 brassin, 7 brassen, brazon, 6– brazen.
[OE. bræsen, f. bræs, brass; see -en1.]
- fig. Hardened in effrontery; shameless.
1573 [see brazen-face 1]. 1588 T. L. To Ch. Rome (1651) 11 Seeking (after their hard and brazen progenitors) t'establish a righteousnesse..of their owne. a 1639 W. Whately Prototypes i. xix. (1640) 220 A brazen forehead, that is never a whit abashed. 1731 Swift To Gay, I knew a brazen minister of state, Who bore for twice ten years the public hate. 1853 Robertson Serm. Ser. iii. v. 70 The outcast woman whom human scorn would have hardened into brazen effrontery. 1869 Parkman Disc. Gt. West. x. (1875) 124 A rare monument of brazen mendacity.
But noting the usage sometimes concedes a more generous interpretation, as in Mary Beacock Fryer's 'More Battlefields of Canada':
The connection between 'brazenness' and 'chutzpah' is made in William Beusay's 'Boys!: Shaping Ordinary Boys into Extraordinary Men':
... and again in Steven Jacob's 'Rethinking Jewish Faith: The Child of a Survivor Responds':
To conclude, one might compare the relative frequency (in Google Ngrams) of 'effrontery', 'brazenness' and 'chutzpah' firstly in British English, and then in American English: