The Magpies completed a remarkable 2-0 win at home over the Champions League place chasers in the Premier League.
The Gunners are now resigned to finishing fifth this season, unless Tottenham lose to Norwich and they win their final game.
"It was an unbelievable atmosphere," Wilson said to Sky Sports.
"Early on in the season everyone wrote us off and we were relegated by Christmas time. But we've dug deep and proved everybody wrong. I've noticed a difference [coming back into the team]. I'm getting a lot more chances and we're keeping the ball better.
"I watched Arsenal the other night and I knew their centre-backs had injury problems. As a striker, I was licking my lips. I've worked so hard [to get back to fitness]. When you're out injured you want to come back and make a difference."
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