The Wales international completed his first full campaign with the Gunners this season, following spells on loan at Nottingham Forest and Cardiff City in the Championship last season.
The 21-year-old suffered an horrific double fracture to his right leg in February 2010 and was sidelined for around nine months, but Ramsey feels he has now finally put his injury nightmare behind him.
Ramsey admits it was hard to adapt to the pace of the Premier League following his lengthy spell on the sidelines, but the Gunners midfielder feels he will continue to improve and hopes to impress next season.
"To ask me to play to a high standard week in, week out, in the Premier League when you think of the pace that goes with it, was very physically demanding," he said.
"People do forget how long I was out of the game and what happened. It's been my first full season. Overall, I am happy with the way things have gone.
"From where I was with the injury I think I've done pretty well. It was a long season and it was something my body has not been used to. It was quite obvious I would get tired towards the end.
"Before I joined Arsenal, I only played for Cardiff in the second half of the season, made the move to London and had a year to settle in.
"Then I started the first half of the following season at Arsenal, got injured and was out for a year.
"Although, I've been pretty pleased, there is still a lot more to come. I know that. But this season has been a good stepping stone for me."