Gibbs' 27 league appearances made last season his most active since he made his debut five years ago, despite suffering a number of injuries and the arrival of Spanish international Nacho Monreal in January.
|12/1||Arsenal are 12/1 with Coral to win the title next season
"It has been my best season so far,” he told the official Arsenal magazine. “It is a stepping stone for me and now I just need to build and stay fit. I am sure I can do more for the [Arsenal] team.
"I was hopeful of getting into the England squad [this summer], but I was not called up. I will just relax now and make sure I prepare myself physically for next season, ensuring that I go into it with a clear head.
"I am really looking forward to it and hopefully we can all make it a special one."
The Gunners secured Champions League football thanks to eight wins and two draws in their last 10 games, leaving Gibbs optimistic that Arsene Wenger’s men can hit the ground running next season.
"The dramatic finale to the season made us even stronger, and we will be going into the new one head on," he added.
"We are aware that we need to produce next season and have to make sure we are confident about dealing with that expectation."