Most would consider the tourists to be the ones under pressure after they were bundled out for just 68 on the final day of the first Investec Test at Lord's. That landed England a 170-run victory to take into Friday's second Test at Headingley, but Wagner insists the Black Caps are going to show their aggressive side this week.
South Africa-born left-armer Wagner said: "I like to look for little battles, to create something. I think it's about getting into a guy's face. It's about irritating them; make them really angry; make them look at you and think 'I really do want to hit this guy for four'."
He added: "You have just got to get them to the point where they really hate you. When you get to that point you sometimes make them think about something else - a split second of concentration lapse that could give you a wicket.
"(Jonny) Bairstow does have a bit of that (pressure) at the moment. (Nick) Compton is looking to find his feet a bit and he played a rash shot in the first innings out of nowhere, just tried to run down the wicket and charge one.
"We can obviously thrive on that and try to put a bit of pressure on. The same again with a guy like (Matt) Prior who didn't get any runs (at Lord's).
"Joe Root looks like he's got a good head on his shoulders, I don't think he'll struggle too much with it, but as a bowling unit we'll definitely have a couple of words and try to get underneath his skin a bit.
"Some players thrive on something like that, other players tend to be more nervous. There's a fine line."
New Zealand will make two enforced changes to their side at Headingley, with wicketkeeper BJ Watling and spinner Bruce Martin both missing with injuries sustained in the series opener.
Martin Guptill will replace Watling in the side, with captain Brendon McCullum taking the gloves.
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