Market commentator Arthur Lim said the company would probably prefer that a New Zealander replace Weldon.
"But given the kind of global economic environment we're in these days, maybe they'll bring someone in from overseas that can provide linkages to the other markets," he said.
Lim said the timing of Weldon's exit allowed him to leave "on a high".
The partial flotations of several state-owned enterprises are expected to start in the second quarter of next year, assuming National wins next month's election.
"But if you look at [Weldon's] tenure over 10 years ... the stockbroking and equity market industry as a whole has gone backwards," said Lim. "That to me is a worrying legacy."
Shareholders' Association corporate liaison Des Hunt said he would give Weldon a "seven out of 10" for his performance as NZX chief.
Research showed firms that sourced chief executives internally through promotion performed better, he said, and it was disappointing that the NZX did not have an internal successor lined up.
Business commentator Brian Gaynor said Weldon's best contribution to the exchange took place during his first five to six years as chief executive, rather than the last years when there was high staff turnover. "A lot of very good people left the NZX," he said.