The 22-year-old has been in impressive form for the Gunners and for his country Wales so far this season, scoring a total of 10 goals.
"I think there is more to come, I'm still only 22, I still need to do better and learn a few more things but the boss (Arsene Wenger) is telling me about that, things like positioning defensively," the Belfast Telegraph quotes him as saying after Wales's 1-1 draw with Belgium in Brussels in a World Cup qualifier.
"So there's definitely more to come and I'm looking forward to that. When you haven't got the ball, while we're defending - sometimes I am not always where I need to be.
"I need to be playing well, be involved in the game and taking these games by the scruff of the neck and keep doing the things I've been doing."
Ramsey joined Arsenal from Cardiff City in 2008.