[1] He was the youngest son of Elizabeth (née Saltonstall) Wyche and Richard Wyche, a director of the East India Company, one of whose elder brothers was Sir Peter Wyche (1593–1643), the British ambassador to the Ottoman Empire (who was knighted by King Charles I in 1626),[2] and his maternal grandfather was Lord Mayor of London Richard Saltonstall.
His mother's first cousin, Sir Richard Saltonstall, established a settlement in the Massachusetts Bay Colony in 1630.
A long-time member of the English East India Company, Wyche served in India, including at Masulipatam, from 1627 to 1636 and had been one of the Committees of the United Joint Stock from 1650 to 1654.
[1] [3] He was selected as the Company's president in 1658,[4] though he initially turned down the position.
[6] In 1657, Wyche was married to Anne (née Cranmer) Slane, who was 26 years his junior, but they had no children.