Head, who has worked under Sussex head coach Jason Gillespie at Adelaide Strikers in the Big Bash League, will be available for all formats upon his arrival at the club next year.
Travis Head scored second Test century while James Pattinson and Pat Cummins grabbed a wicket each as New Zealand ended Day 2 on 44/2, trailing Australia by 423 runs at the MCG.
Australia retained the Ashes in the fourth Test in Manchester but Head was replaced by all-rounder Mitchell Marsh for the final Test at The Oval after poor returns with the bat.
In first-class cricket, England and Australia players already wear numbers on their backs, unlike in other countries.
Earlier, Kurtis Patterson became Australia's third century-maker of its first innings, scoring an unbeaten 114.
The twin centuries also ended a drought of tons at home by Australian batsmen - 390 days to boot - going back to the 4-0 Ashes win.
Australia lead Sri Lanka by 162 runs at the end of day two's play in the day-night Test in Brisbane.
The return of Peter Siddle, Nathan Lyon and Usman Khawaja marks a major overhaul of the ODI side just six months before the World Cup.
The MCG crowd started booing Marsh once Marsh's name was announced on the public address system when he came onto bowl.
Australian bowlers had to toil hard as India finished at 215-2 with Kohli (47) and Cheteshwar Pujara (68) remaining unbeaten at Stumps.
Head scored a half-century in the second innings of the first Test at Adelaide to give India a scare even as the visitors eventually won by just 32 runs.
Hanuma Vihari and Ishant Sharma were the picks of the bowlers for India by taking two wickets each on the first Day of Perth Test.
A clinical display by India saw them win the 1st Test of the series, their first in 10 years in Australia. The 31-run win helps the visitors take the a 1-0 lead in the three-match series.
Taking a leaf out of Pujara's book, Head scored a 167-ball 72 to steer Australia to 235 on the third day of first Test on Saturday.
After folding Australia for 235, India steadily built their lead through Rahul (44), Kohli (34) and Pujara (40*) to stitch up a 166-run lead on Day 3 of the 1st Test in Adelaide.
Live Cricket Streaming, India vs Australia, 1st Test, Watch IND vs AUS Stream Live Online on SonyLIV and watch Live TV coverage on Sony Ten 3 & Sony SIX HD. Also get live scores and updates at IndiaTV Sports.
Travis Head is likely to play in the middle-order for Australia in the first Test at Adelaide Oval, starting December 6.
Travis Head was not out on 34 as both batsmen tried to revive the innings after Abbas' (3-26) burst had left Australia reeling at 87-3.
Joe Burns, Glenn Maxwell and Shaun Marsh, who were in Australia's Test squad for the final match of the infamous tour of South Africa, were not included in the four-day squad.
Despite losing seven wickets in the run chase, the hosts cruised to victory with 13 overs to spare on the back of a masterful display from Head, who missed his second ODI hundred by four runs.