"The match at Chelsea showed we have those good performances in us, then in the second half against Leicester they had a two-goal cushion but we were trying to break them down for the full 45 minutes and were the better side", he told the club's website.
The point was still enough to seal Arsenal's place in the last 32 of the competition but Wilshere, who came closest to scoring for his side with an effort that was cleared off the line, admitted that they were not entirely pleased with the result.
The Frenchman's team progressed to the knockout stages of the Europa League after taking their total to 10 points from four Group H fixtures at The Emirates.
- Arsenal have not lost any of the nine home games they have played on a Thursday under Arsene Wenger (W8 D1), with the first of those being a 3-0 win v Nantes back in 1999 (UEFA Cup).
Meanwhile, Patrice Evra of Marseille made history by becoming the first player to get sent off in the Europa League before the start of a match. They played at a high pace and were always risky on the breaks and they defended very well.
"In the second half we dominated much more possession and played in their half but we lacked a bit of quality in the final ball and vision to find the right space".
"And he needs to be injury-free for a long period until the end of the season, and get games like that".
The draw was particularly frustrating for Wilshere as it came on a day when he had been omitted from the England squad.
Wenger put out a largely inexperienced squad once again in the competition as the French manager continues to experiment with some of his younger players. "So maybe if he keeps fitness he will be involved next time".
The Gunners play host to the 1991 European Cup winners in north London a fortnight after Olivier Giroud's remarkable late goal secured a 1-0 win in Belgrade.
We should have scored, there were some good chances for us. "I have to congratulate my players".