To this end, she has already brought over a harrowing piece of South African theatre, Tshepang, which featured the rape of a baby, and will follow Daniel Kramer's highly expressionistic production of Woyzeck with a play from Chile.
All three are a far cry from the very English world of NoÃl Coward and Penelope Keith, but Sharrock is the kind of person who thrives on contradiction and challenge. 'Coward is an immensely disciplined writer, and you have to learn to trust the rhythm before you can find the freedom to explore the text,' she says.
'I loved the transition from working with that on the big stage at Bath to the ambitious, cramped world of the Gate, where everything is run on a shoestring and an awful lot of love.'
Like her mentor Sir Peter, Sharrock prefers the allencompassing demands of running a theatre to operating as an independent director, and describes herself as someone who likes nothing better than a crisis.
'I like being able to take charge, tell people what needs to happen, and let them get on with it.' Although her CV suggests a well-plotted path, Sharrock says she's not a ruthless careerist, just lucky. And she is an emphatic agitator for funding to preserve Britain's theatrical tradition.
'Everyone assumes the West End is the greatest in the world, but actually, it's the filthiest part of England,' says Sharrock. 'In Germany they really look after their playwrights - in this country, we piss all over them. Still, I have enormous faith in the talent of this country.'
With people like Sharrock around, it's impossible not to share it.
Blithe Spirit, in preview from tonight, opens Mon until May 28, Savoy Theatre, Strand WC2, Mon to Sat 7.30pm (Nov 22 7pm), Thu and Sat mats 2.30pm, £15 to £40. Tel: 020 7836 8888.Tube: Charing Cross