The England global is out of contract at the North London club in the summer, but the Gunners are interested in negotiating a new deal, with Wilshere also said to be keen on staying at his boyhood club.
"He's a special man and a special person - full of class, full of integrity and I really wish him all the best", the 31-year-old told Sky Sports News.
He now has two games left with Arsenal, a trip to Leicester on Wednesday and another to Huddersfield on Sunday. "I must say the squad doesn't need much, because there's a huge potential in there", asserted the Frenchman.
"At the moment, I focus on doing my job".
Two goals from Pierre-Emerick Aubameyang, one from Sead Kolasinac and one from Alex Iwobi ensured Wenger got the ideal farewell, and after the game the players relieved some of stresses and strains of a long campaign with a party. I will work. I don't look very good on the beach'. He gave a foreign manager a chance when no-one knew me.
"But I enjoy going out there every day, of course". This might be the last time Jamie Vardy and Riyahd Mahrez play for the club so I am expecting the team to put up a good performance to farewell two of the clubs best players. I don't analyse anything [relating to his next job], I want to work well until the end of my contract.