The Arsenal talisman closed in on Thierry Henry's club record of goals within a calendar year with his strike which secured the Gunners' 1-0 victory with 20 minutes remaining.
However, Van Persie concedes that he was taking a huge risk in hitting the ball on the volley, rather than taking a touch first to increase his chances of finding the net.
"Normally I would have taken a touch to get it right," the Dutchman told the club's official website. "It was a bit of a gamble but in the end a very nice goal just inside the post. I can't wish for more.
"It was a great pass again from Alex Song. It's unbelievable - he's a defensive midfielder but the amount of skill he has is just a dream.
"It was vital to stay on track and get the three points," he added. "It was a hard game against a good Everton side so in the end we were very pleased.
"We've played solid at the back for a couple of weeks now - I mean really solid. You know then that as a forward player, one chance can be decisive."
The goal came in a game where Arsenal were celebrating their 125th club anniversary, with many club legends, including Thierry Henry, watching on from the stands.
‘Scoring in a World Cup is like winning the title – can you imagine millions of people celebrating something you did? It’s insane and made me very proud’: Brazil legend explains how much 2002 goal meant to him
'He already had the ability but didn’t use it because he was afraid to shoot – I said, "You’re a player who has to decide games – you have to take risks, mate"': Liverpool star was forced to become confident by team-mates
