Wood told BBC Look East: "It came pretty naturally. I know everyone's surprised that it came out of the blue.
"But from within the camp we were feeling very confident."
England started the autumn with a comfortable 54-12 win over Fiji but went on to lose 20-14 to Australia and 16-15 to South Africa.
They received particular criticism for the manner of the loss to the Springboks, with
captain Chris Robshaw instructing Owen Farrell
to kick for goal rather than pursue a potentially match-winning try at 16-12 down with two minutes left.
But Northampton Saints forward Wood, man of the match in England's largest points victory over the All Blacks, believes it was a positive series.
England's autumn internationals
England 54-12 Fiji
England 14-20 Australia
England 15-16 South Africa
England 38-21 New Zealand
"I thought it was really good all round," said the 26-year-old.
"We've taken some stick but I thought we played Fiji in a professional manner and we were competitive against Australia without getting into full swing.
"I thought we had a great game against South Africa and we took a lot of stick for decision-making and not winning the game outright.
"We're never happy with losing by a point or 'moral victories'. We're not that kind of team. But when we looked back at the game we were quite proud of a lot of what we did.
"To finish on such a high against the All Blacks rounded it off and endorsed what he had been doing and saying all along and gave us a positive boost going into the Six Nations."
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