Sanchez, 28, faces an uncertain future at the club as negotiations over a new contract continue to stall, with just one year remaining on his current deal.
Everyone at Arsenal from the management to the staff will be deeply disappointed to have missed out, but unsurprisingly there is one or two that still maintain the odd view that this team is capable of winning the biggest of competitions.
It effectively meant that Arsenal have failed in their attempts to finish in the top four, but they continued to try to make an impression against Everton with both Welbeck and Mesut Ozil being denied by Joel Robles.
"I don't know (what will happen in the meeting)", Wenger told a news conference on Friday.
Alex Oxlade-Chamberlain is set to miss the match as Wenger does not want to risk him ahead of the FA Cup final. Who do you get in to keep that club the way they are for the next 20 years?'
"Arsene is so dominant that he was probably not going to like it if I said, 'We're conceding bad goals, I'm going to take the back four today and organise them'".
Manchester United will return to the Aviva Stadium for the first time in seven years as they prepare to take part in a unique worldwide club game against Sampdoria on Wednesday, August 2nd.
But the Frenchman said fans' continued protests about his stewardship at the club had played a part in the failure to reach the Champions League. "They've got money coming in which will enable them to be up there", he said.
Arsene Wenger's men are one point behind fourth-placed Liverpool, hosts to Middlesbrough in their final game, and three behind third-placed Manchester City, who play at Watford. But I am professional and, as long as I am somewhere, I do my job until the last day. "What happens to me after that is less important".
During the game against Everton, Arsenal fans held up banners with messages for Wenger to leave the club in the summer. "At the moment we should focus on the short term and what is going on on Sunday and in the cup final".