The ECB named a 14-man squad for the two-match series at The Oval in London on June 25 and 27, with Middlesex's Eoin Morgan captaining the side.
"Kevin Pietersen, who has been unavailable for England since March due to a knee injury, will join the squad for the second match provided he successfully completes an LV County Championships game for Surrey beginning on Friday 21 June," they said in a statement.
In T20 internationals, he has scored 1,176 runs at an average of 37.93.
The 32-year-old was briefly dropped from the side during last year's series at home to South Africa after allegedly sending text messages critical of then England captain Andrew Strauss, who has since retired, to players from the opposition.
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England's squad includes two players yet to play for their country in any format: Yorkshire batsman Gary Ballance and Warwickshire quick Boyd Rankin.
The games against the Black Caps would provide an opportunity for players who had performed well in the domestic game, with the country's performance programme and Lions teams to gain international experience.
Squad: Eoin Morgan (captain), Gary Ballance, Ravi Bopara, Danny Briggs, Jos Buttler, Jade Dernbach, Alex Hales, Michael Lumb, Kevin Pietersen -- June 27 fixture only, Boyd Rankin, Ben Stokes, James Tredwell, Chris Woakes, Luke Wright.