Foskett is a surname. Notable people with the surname include:
MiaFoskett (born 2001),Polish
Jeff Foskett, guitarist and singer, worked with Brian Wilson and The Beach Boys
Nick Foskett, Vice-Chancellor at Keele University in Staffordshire, England
Reginald Foskett, the fourth Anglican Bishop of Penrith, England in the modern era
Russell Foskett OBE, DFC (1917–1944), Australian flying ace of the Second World War