The 26-year-old, who played for 76 minutes, added: "We knew they were going to sit in to hit us on the counter". "It's more about the expectation being so high".
Pierre-Emerick Aubameyang opened the scoring from a penalty after Bruno Martins Indi was adjudged to have fouled Mesut Ozil, only for replays to show he won the ball.
A top four finish is nearly certainly out of reach, but the Gunners will want to keep up their recent winning run ahed of their Europa League quarter-final clash with CSKA Moscow. I think [because of] the combination of quality and number of goals scored, and the quality of our games we produced here.
"We dominated the game but Chelsea created the chances and scored".
David Ospina has been the Gunners' first-choice goalkeeper for the Europa League, having featured in eight of the club's 10 matches this term.
"The goal at the end of the first half it wasn't good for us and our confidence".
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"In the Premiership [sic] there are not many opportunities for us to now get in the top four".
The first leg of their quarter-final against CSKA Moscow takes place at the Emirates Stadium on Thursday, with Wilshere under no illusions over the size of the tie.
The Gabon striker added his second of the afternoon soon after before unselfishly allowing substitute Alexandre Lacazette to tuck home another penalty as the forward marked his return to fitness with a goal. Arsenal fans cut a frustrating figure as their team failed to make any real impact while attacking Stoke.
Stoke manager Paul Lambert said on Sunday he was fully confident that his team will avoid relegation from the Premier League this season - with just a little help from Lady Luck. "I saw it in Germany and it worked seamlessly, absolutely no problem at all", he said.
"You could let your mind drift to the Europa League, but we are a professional side and do want to finish as high as we can in the league so these league games are still important for us".