He takes over from Zane Levsa, who has been interim CEO since Printful co-founder Davis Siksnans stepped down in June.
Levsa returns to her previous role of COO.
Saltonstall was formerly general manager of partner operations at e-commerce retail specialist Wayfair, and also headed its supply-chain-as-a-service business CastleGate.
Printful said Saltonstall will focus on delivering the company's growth strategy of launching additional products and services and building its enterprise-level customer business.
Saltonstall said he was impressed with Printful’s growth and progress so far, and said the business had “tremendous opportunities in the future”.
“I believe Printful will play an important role in transforming how companies authentically build and monetise their brands by producing products their customers love, and doing so in a more cost-efficient and environmentally sustainable way,” he said.
Printful has its roots in Latvia but is headquartered in the US.
The business has a fulfilment centre in Birmingham and works with specialist print providers in the UK to offer local production and fast shipping.
Its product range spans clothing, promotional products, wall art, stationery and accessories such as bags.
Last year the business reached “unicorn” status with a value of $1bn (£864m), with sales growing to $289m.
It has ten fulfilment centres worldwide.