The Manchester-born defender, 19, is so highly-rated at the Emirates Stadium that Wenger made him captain of the Gunners' reserve side at the start of last season.
And it was only Bartley's powers of persuasion that reluctantly convinced Wenger to allow his starlet to rejoin the Blades following his impressive 14-game loan stint with them last term.
Bartley revealed to the Daily Star: "To begin with, the gaffer was not keen on letting me leave again.
"But to be honest, I could not see a clear path through to the first team for me. And having been with United for the final few months of last season, I knew this was an important time for my development.
"So I went to see the boss and asked him - very politely, of course - if I could go on loan to Bramall Lane again. Mr Wenger was reluctant at first, but the one thing about him is that he always wants what is best for his players.
"He will always try to make sure he does right by them in terms of their careers. He invited me in for a chat, we talked the situation through and, in the end, he admitted that he could see my point of view.