Cairns, 33, said he would be playing a four-day game in New Zealand to attempt to prove his fitness for the home Test series against Pakistan starting later this month.
Cairns led a depleted side to Pakistan for the five-match one-day series which ended on Sunday in another defeat and a 5-0 victory overall for the home team.
"Leading the side has not been an easy task out here, but I have enjoyed the experience," said Cairns, who has been standing in for injured captain Stephen Fleming.
"I would not mind having a look at it (captaincy) again. But first I have to prove my own form and fitness before they consider me for the Tests against Pakistan. I have not played Test cricket for the last two years."
Cairns, who has struggled with a chronic knee problem, added: "This Pakistan team is a very strong side and I have been especially impressed with the two young openers...but in New Zealand conditions their batsmen would be tested."
The first match in the two-Test series starts in Hamilton on December 19.
