Last winter's signing from Everton still struggled to fit into the first team after joining the side in January but things have been different under the new boss this season.
Barkley played in the Community Shield and kept his place in the side for the season's opening win at Huddersfield Town on Saturday and he is hoping he can push on and continue to learn the game.
He told Football London: "To keep learning. The new manager obviously has a different style to our previous manager. There will be freedom because you have three men in the midfield.
"You can go forward, get close to the box, have shots, try to create but obviously we have to be disciplined and organised without the ball.
"I want to be scoring goals, creating goals and, towards the end of the season, there will hopefully be a prize, with a trophy or a couple of trophies."