The Gunners got the better of Everton 3-1 at the Emirates Stadium in North London on Sunday afternoon with relative ease.
Tottenham Hotspurs finished second, followed by Manchester City and Liverpool.
However, Milner went through a similar process with Manchester City and while he accepts making the Champions League represents progress, he insists the biggest strides are made by winning silverware.
“We have to look at ourselves and we will be hungry for the same things next year”.
That meant Arsenal failed to qualify for Champions League football for the first time since Wenger became manager in 1996.
Wenger has confirmed his future will be clarified after a board meeting following the match at Wembley, and Seaman hopes he remains despite growing calls for him to leave.
The Frenchman, who has been in charge for 21 years, has not revealed whether he will sign a new contract with the club. That month, Chelsea had a 2-2 draw with Swansea, a 2-1 loss to Liverpool and then was smashed, 3-0, by Arsenal, of all teams.
But they should not question it, I am professional, as long as I am somewhere I do my job until the last day.
He added: “But the psychological environment for the group of the players was absolutely horrendous”.
“Overall I believe that we played since January in a very hard environment for different reasons”, Wenger told reporters at the Emirates on Sunday. Not because he isn’t a quality striker, but because his struggles with injury over the last three seasons make it impossible for the club to count on him to stay fit.
“I don’t want to say we are already in — qualification is qualification — but we are really strong, we want to fight for it and be there”. The fans are wondering why – they’ve been there for 20 years.
He told Omnisport: “All that concerns me, whatever happens, is I want there to be more money available for the manager”.
“Liverpool have always had a history of fighting at the top of the league and also in Europe, and we have that now so next season can be really exciting for us”, he said.
Liverpool needs to be there consistently.
Blues boss Antonio Conte paid a fitting tribute to Terry, taking him off in the 26th minute – matching his shirt number – and Chelsea’s players formed a guard of honour as he walked off to a standing ovation by the capacity crowd.