But, the Gunners have won twenty-three matches in the last season, but they had only six draws in the list.
"We started really well and I thought we could stay in control", he told Sky Sports.
Giroud has been at Arsenal since 2012, and in that time has scored 99 goals for the club. Harry Maguire, another debutant, headed the ball back in for his new team-mate who beat Granit Xhaka to head home easily.
Aaron Ramsey nearly equalised, heading narrowly wide from a Lacazette cross, just seconds after coming on.
Alexandre Lacazette heads in the opening goal of the season.
His name rang out, familiarly to the tune of Hey Jude, and Wenger snapped at the suggestion that he might still leave the club before the transfer deadline passes later this month.
While there remains question-marks over the Arsenal future of Alexis Sanchez, who misses the visit of the Foxes with an abdominal injury, Lacazette will be aiming to become a new fan-favourite in north London.
Danny Welbeck did get the Gunner level in the last few seconds of the first half to give them hope of a better second 45. Ramsey had an effort on goal soon after, planting a header just wide after a trademark run from deep, and then grabbed the equaliser at 3-3 after a magnificent first touch and finish.More news: Global markets pressured by North Korea fears
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In advance of its first Premier League season, Brighton and Hove has been busy in the transfer marking, signing ten new players including Dutch global Davy Propper and Chelsea and England youth worldwide Izzy Brown.
Leicester took the lead again when Vardy headed in Riyad Mahrez's corner minutes before the hour-mark and it looked like the visitors were going to take home all three points.
Lacazette, a club-record £46.5 million ($60.3 million, 51.1 million euros) signing from Lyon, made a dream start to his home debut by heading Arsenal in front with just 85 seconds on the clock.
"At the moment I have 33 players and it's very hard to manage such a high number on a daily basis", he told reporters.
"And you could see that this team has quality and is used to playing together, but [we had] 70 per cent possession with 27 shots on goal". Leicester recovered from a terrible start to finish in 12th place last season in a year when playing in the Champions League was the clear priority.
"He's well equipped for the league, he's quick, physical and I think the players around him are excited he's come in".
"Even if people will say, OK we conceded three goals".