Arsene Wenger’s men won 19 of their last 26 matches in all competitions in a strong finish to the 2014-15 campaign but a worst ever start under the manager saw them win two of their opening eight league matches.
Arsenal finished the season in third place -12 points adrift of eventual champions Chelsea – and Wilshere is keen to build on their late-season form, highlighting Petr Cech’s arrival as a sign of the club’s ambition.
“We didn’t start the season well last year but the way we finished it, if we had played the whole season like that then we could have been champions,” Wilshere told the club’s official website.
“If we continue our form from the end of last season when we dominated games with our possession, and we won the ball back in better positions high up the pitch, then we’ve got a real chance.
“We want to win the league, of course we do. We feel we’ve been together a few years now, we’ve brought in world-class players who have had time to settle, we’ve added a world-class keeper with all of his experience, he’s been there and he’s done it, he’s won everything.
“So we really feel we’re in a strong position.”