The Gunners midfielder believes the improvement on last season's fourth-placed finish would also set down a marker for 2015/16.
The Gunners are currently third in the Premier League table after Monday night’s victory over Hull City, level on points with second placed Manchester City, although they do have a game in hand.
Arsene Wenger’s side have been in scintillating form in 2015, winning 18 of 22 matches, and are almost certain to finish in the Champions League qualification places once again. However, midfielder Wilshere believes finishing second would be a very positive step in the right direction.
“The last few seasons we’ve finished fourth so to finish two places ahead of that would be a massive progression for us,” he said.
“Hopefully [it] will give us confidence going into next season. [Finishing second] would set a marker for next season and would be a progression from last year.”
Arsenal were in fine form against the Tigers, eventually running out 3-1 winners, although at one stage it looked like it could be much worse for Steve Bruce’s side.
Wilshere is currently working his way back to full fitness and form having missed five-and-a-half months with an ankle injury and faces stiff competition in his battle to earn a recall to the starting line up.
However, he was full of praise for his fellow teammates and the way they went about their business at the KC Stadium.
“We knew [Hull] were going to come out because they’re fighting for their lives, but we expected that,” he added.
“We soaked up the pressure well in the first half and our quality shone through. We’ve got players going forward who are some of the best in the world and they showed that.”