The Toffees bounced back to winning ways after a 3-0 defeat to Aston Villa and a penalty shootout loss to Championship outfit Queens Park Rangers, as Andros Townsend and Abdoulaye Doucoure got on the scoresheet either side of half time to seal their fourth league victory of the campaign.
Following the game against the Premier League's basement side, who are yet to collect a point, the Spaniard said: "These kinds of games are difficult because everybody is expecting you to win. We started well and had control for 30 minutes. Norwich didn't create too much and we were attacking but without being very dangerous."
Such a victory saw the Merseyside outfit make it three wins from their first three home games of a top-flight campaign for the first time since 1989.
Speaking to evertonfc.com on that record, Benitez said: "I am really happy but, hopefully we can carry on, that is the main thing. Hopefully, we can emulate what they did last season away from Goodison [11 wins]. If we can win games at home and away, it will be better."
In their search to make it two league wins on the bounce, the Toffees travel to Old Trafford to take on Manchester United next Sunday.
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