The promising youngster, who has earned eight senior caps for Kazakhstan, expressed his excitement at taking on a fresh challenge in English football with the Clarets.
Speaking to Burnley's official website, Satpayev outlined his ambitions: "I'm very pleased to be here. It's a great opportunity for me in my career and a great club to show what I can do and help the team get back to where they belong."
He further underlined his readiness for the test at Turf Moor: "It's my first time playing in England and I'm ready now to take on the next chapter and have a successful time with Burnley."