Six touring sides will arrive on New Zealand shores to take on the Black Caps and White Ferns next summer.
Brendon McCullum helped revitalise a deflated England, while the reigning Test champions continued their horror run of form.
Kane Williamson said there was a "new theme to England's approach and they won those fine margins".
The hosts need 113 more runs against New Zealand with one day left in the third and final Test.
The Black Caps lead by just 135 runs with five wickets in hand in their second innings.
He and debutant Jamie Overton pummelled the New Zealand bowlers in a record partnership to rescue England from a horror start.
Skipper Williamson says he kept his cool in isolation watching second Test on TV, but NZ may need seamer Wagner's fire at Headingley.
Ben Stokes was conspicuous by his absence as the rest of the squad began preparations.
He lined up against them earlier this year but now Otago and Dutch all-rounder Michael Rippon is set to play for NZ.
Devon Conway is the third Black Cap in the party in England to get the coronavirus but can still recover in time for the third Test next week.
Michael Bracewell became the second squad member to contract the virus after captain Kane Williamson, who missed the second Test after a positive result on the eve of the match.
Jonny Bairstow hit England’s second-fastest Test century with to lead his country to a record run chase at Trent Bridge.
The Black Caps’ aggressive attempts to create a winning position backfired at times in their second innings at Trent Bridge.
The Black Caps have been dealt a significant blow ahead of their second match against England with their skipper sidelined the night before the match.
Black Caps legend BJ Watling has been named the new Wellington Firebirds white ball Head Coach.
The allrounder faces 10 to 12 weeks on the sideline after suffering a torn plantar fascia in his right heel.
The Black Caps bowlers have turned their fortunes around after New Zealand’s dramatic collapse in the first Test against England.
The self-professed "cricket tragic" traded his golf club for a bat while spending some time with the team ahead of the first Test against England.
Henry Nicholls and Trent Boult were both named in the Black Caps squad but are likely to miss the opening match at Lord's against England, coach Gary Stead said.
The Black Caps will travel to Cairns to play the Chappell-Hadlee series in September.