Parry was descended from an illegitimate branch of the Breconshire Vaughans. His father, a servant of Princess Elizabeth, leased the ex-monastic manor of Welford in 1546, and was granted the Crown manor of Hampstead Marshall in 1560.
Parry was granted the reversion of the office of chancellor of the duchy after Fortescue in October 1607, which fell in when the latter died two months later, on 23 December. He was sworn to the Privy Council, though not without opposition, on the following day.
It was rumoured in 1612 that Parry, now in financial difficulties, might be driven to sell the chancellorship of the duchy to Sir Thomas Lake I* to get a protection for his debts.
Parry himself stood as a knight of the shire for Berkshire, and regained the county seat after 28 years. He was sworn by the lord high steward on the opening day with the other privy councillors, but received only one appointment, to the conference of 14 Apr. on the Palatine marriage settlement, before the storm broke about his head.
Parry was restored as nominal head of the duchy in May 1615, though John Dackombe*, who was named in reversion to the post, probably took over the work.
