Frenchman met with new majority shareholder for the first time and assured him that the Gunners still have "a lot to play for" as they look to deliver Premier League glory.
Kroenke, who has control of several American sports franchises, now owns 62.89 per cent of Arsenal and Wenger admits he will aim to ensure that the north London club remain consistent at the top of the table.
Wenger said: "I am aware of the offer but you will appreciate that the takeover is subject to various rules and as such I can't comment further.
"I think I have a responsibility to bring success to the team, to be consistent at the top and to manage the club well. For me it is important as well that everybody inside the club does what they are responsible for.
"My focus will be on ensuring the team has a successful run in to the end to the season. We have a lot to play for."
Arsenal have endured a tough couple of months following their League Cup final defeat to Birmingham City and their Champions League exit to Barcelona but a win against Liverpool on Sunday could reduce the gap to four points from Manchester United.
Wenger revealed that goalkeeper Wojciech Szczesny could be in the line-up for Sunday's game following his finger injury but full-back Bacary Sagna is a doubt as he has a knee injury.
"We have no new injuries but we have a big doubt on Sagna," Wenger told Arsenal TV Online.
"Djourou and Wojciech are question marks. Will they be fit? That all has still to be decided. We have two more days to find out. It could be a possibility that they could be available.
"It's difficult to say what their chances are. We have a test today [Thursday], we have a big test to see how they survive the training session. That will be very important."
Long term absentee Thomas Vermaelen has returned to training whilst Wenger added Denilson and Alex Song could return.
"Denilson and Song have a chance to be available as well," he continued.
"I am not reluctant [to use Vermaelen] but he is not match-fit yet. He has just joined the team this week so we have to be a bit patient with him."
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