The 5-4 victory in Coventry means Britain draw the two-game series, having lost the opener on Friday.
Assistant coach Tom Watkins said: "It was a really good match from both sides, our performance was excellent. The players showed heart and passion."
GB's World Championship campaign begins against Croatia in Belfast on 23 April.
Great Britain won their final warm-up game before the World Championship as Jack Prince scored the winner in a sudden-death shootout against Poland.