The home side went into the game having not scored a goal in the Premier League so far this season, and having only registered one shot on target over the first two matches.
But Ben Arfa's late strike sealed a first victory of the season for the Magpies which the 26-year-old believes was vital.
He told Sky Sports: "It was a good goal. I was trying all second half to score because we needed the win today. I was trying a lot of shots. I'm not sure how but I just hit it and I scored so I'm very happy.
"If we didn't score today we wouldn't have been able to sleep tonight. We've been trying and trying, and today we finally got the goal.
"We're very happy today. If we hadn't won or scored today we would have had two very bad weeks."