United could well have left north London with victory but for a brilliant save from Wojciech Szczesny which pushed a bullet header from Robin van Persie, the former Arsenal skipper, onto the crossbar.
"All I can do, and I keep saying it, is we will try and win the next game and pick it up," said Moyes, whose team had drawn 2-2 at home to Fulham on Sunday.
"If there is one club in history who have been great at winning games in the second half of the season and putting pressure on the teams above it is Manchester United. We will continue to try and do that and make it work.
"We can only do our job the best we can. We want to play better. We cannot bother about other teams. We can only put pressure on by winning our games."