For Arsenal, who had not won in the league since 3 January, the relief was clear. They controlled the game with early possession before catching Bournemouth with a pair of swift strikes which rendered the contest a foregone conclusion.
Ozil set the Gunners on their way with a powerful shot after Olivier Giroud had headed Aaron Ramsey’s long pass into the German’s feet.
And Arsene Wenger’s pre-match assertion that Oxlade-Chamberlain was in form and would offer good balance on the right proved prophetic when the winger came inside and his low shot went in via the far post.
Again, Ramsey had a hand in the goal – the Welshman pulling the strings for the Gunners and giving Bournemouth a lesson in turning some eye-catching moves into ruthless attacks.
Despite chasing the game in the second half, it took until stoppage time for Bournemouth to test Petr Cech, when the Arsenal keeper made a fine double save to deny Steve Cook and Harry Arter from low shots.
Until then, it had been a succession of wayward pops at goal and intricate, but not incisive, approach play.
Bournemouth should be applauded for their desire to pass the ball, create space and use the flanks but they lacked any presence up front.
Lone striker Benik Afobe, who was signed from Wolves for a fee of about £10m, had scored in his last three games for the Cherries but failed to register a single effort on goal against his former club, before he was substituted after 76 minutes.