The Gunners were 2-0 winners at Goodison Park on Saturday afternoon.
The Gunners travelled to Goodison Park on Saturday afternoon looking to return to winning ways following a disappointing run of form.
They did just that, as goals from Danny Welbeck and Alex Iwobi saw them to a comfortable 2-0 victory to boost their hopes of keeping up in the title race.
Keown though, says that the win is just a big positive for their hopes of finishing in the top four, ruling them out of the title race.
"That result keeps people off Arsene Wenger's back for a little while longer,” he told BBC Sport.
“A win at Goodison is big and it will improve confidence, but there are other big games coming.”
"That is a great result for the Gunners' Champions League aspirations, but I can't see them winning the title. And that is such a disappointment, because this season it was there for the taking."
It would certainly take an impressive run of form between now and the end of the season for Arsenal to end up as title winners.
More importantly it would take a disastrous run of form from both Leicester City and Tottenham Hotspur just to allow the Gunners to close the gap on those teams.
That doesn’t look like happening any time soon though, with both sides currently flying and not looking like slowing down as the season draws to a close.