The business tycoon has purchased another 427 shares in Arsenal's parent company, raising his stake at Emirates Stadium to 29.6 per cent.
Kroenke is edging towards the 29.9 per cent mark, which if reached, would oblige him to make a formal takeover bid under the City's financial regulations.
Wenger revealed that he is untroubled by the off-field developments, and said he does not know the Denver-based sports magnate's future plans.
"As long as I am not told that I have to change the way I see - I have a vision for the club on the technical side - and as long as nobody interferes with that, I don't see what kind of impact it could have on me," he said.
"At the moment he flirts with the 30 but he is not there. I don't know what his intentions are, I have never spoken about that with him."
When asked if he expects Kroenke to complete a takeover, Wenger added: "I don't know.
"The only thing I know as well as you is the rules that if he has 30 per cent he has to make a bid for the club."
StructureMeanwhile, Gunners captain Cesc Fabregas has been crowned PFA Fans' Player of the Month in the Premier League for October.
The Spanish midfielder has been in fine form of late, and Wenger compared him to Chelsea and England's Frank Lampard, who Fabregas just edged out in the voting.
"He's a bit like Lampard in that he wants to structure the game," he added.
"Cesc likes to be at the start of things and then get on the end of things, and he can push forward more this season because he has two players around him who can defend."