The victory ensured Arsenal maintained their 100% start to the season and they remain undefeated in six outings.
The start prompted manager Arsene Wenger to declare: "This team means business. We are not there to show off. We want to achieve something together.
"We kept a good concentration on the quality of our game. It was really enjoyable to watch.
"Adebayor looks stronger physically and you see that in many challenges. There is a huge force coming out of him. He had that already but he looks calmer in his finishing."
But Wenger was not interested in what Abramovich wants in west London, adding that he was only too happy to stay true to his idea of how the game should be played.
Wenger added: "We try to play football we love here and that is not linked with the Chelsea situation, it is linked to what we aspire to do. When we don't win we are criticised, when we win people love us. But above all we are faithful to the idea we have of the game."