I think he'll defer to his son's judgement over Wenger's - I think that's one of the reasons he sent him over in the first place - to make a decision.
That and even he wouldn't be oblivious to the worsening of our status the past year - revenues took a hit because of no CL football, dwindling crowd attendances and worse results/league position.
Also, and this is a point that Arseblog makes a lot but with Raul & Sven in place as well as the other backroom hires, we're in a much better place now to cope with Wenger leaving than we were last summer. A point I'm sure both Ivan & Josh will convey forcefully to Stan.