The Leeds United midfielder was one of six changes made by England Under-19s and almost crowned his debut with a goal, firing a shot off target in a game the young Lions dominated.
Cook played 79 minutes before being replaced by Chelsea’s Charlie Coklett.
The win keeps Sean O’Driscoll’s side on course for reaching this summer’s Under-19s finals in Greece – with Cook eager to follow last year’s summer highs with the Under-17s with another glorious sojourn with England.
Manchester City’s Ashley Smith-Brown netted the only goal of the game in Bayeux for the Under-19s, who tackle France in a winners-takes-all encounter on Tuesday.
The success followed the 3-2 triumph over Denmark on Thursday.
France beat Denmark 2-0 on Saturday to lead the way on goal difference, meaning that O’Driscoll’s Young Lions must beat them in Saint-Lo to take the group’s only qualification spot.
After the game Cook tweeted: “Buzzing with a the win against Azerbaijan, lads were class.”