The Welshman netted his seventh goal of the season in the fifth minute to give the Gunners the lead before Per Mertesacker and Bacary Sagna cancelled out Geoff Cameron's equaliser to send the north Londoners to the top of the Premier League table.
Ramsey, who appears to have returned to top form since his badly broken leg a few years back, was thrilled to have contributed to another early-season Arsenal victory.
"I'm enjoying my football at the moment," he told Sky Sports.
"I think that's one of the biggest improvements from last season, I'm a bit more composed in front of goal and things are coming off.
"I'm working hard and hopefully I can continue improving."
He added on the Stoke clash: "I think I play a bit different here. When we go away to Stoke, that's different.
"I was surprised today the way they get the ball down now and start to play a bit more. They had some good possession, but overall I think we were solid and deserved the win."