Both sides had their World Cup hopes ended in the play-off semi-finals, yet are still set to meet in Cardiff in a match with no competitive significance.
Northern Ireland fell 2–0 to Italy national team, while Wales suffered a penalty shootout defeat to Bosnia and Herzegovina national team.
Brunt questioned the logic behind the fixture, with many believing it should have been cancelled to ease the burden on players after their recent disappointments.
"For the supporters, it's a complete dead rubber. It is one of the most ridiculous things I've ever heard - it's pointless,” Brunt said.
“The schedule of games coming up in England - boys play Friday and Monday (when they go back to their clubs) so it's ridiculous.
“If you look at the previous qualifying games, they're scheduled Thursday, Sunday and Friday, Monday or Saturday, Tuesday, so why come to this stage of the season go Thursday, Tuesday?"