City were second best throughout the derby at Etihad Stadium on Saturday, with Ramsay an early victim of the team's poor performance.
The winger was taken off after just 30 minutes at Etihad Stadium, although David Williams' introduction failed to turn the tide in favour of van't Schip's side.
And while former Adelaide United man Ramsay may have reason to feel aggrieved after suffering the ignominy of being substituted so early in front of 40,000 supporters, his Dutch coach believes the 26-year-old is tough enough to get over it.
"Players know themselves also," he said
"It's always easy to come and say 'this is not the way things should go.' That's maybe from the players' point [of view], how they can see things.
"I've been a player myself so I know how it works. At that moment, at that time, we [did] a change because we think we can do things better for the team.
"In the end, looking at the result, it didn't work out.
"Every change has a reason, this I explained to Iain. It's for him not nice but he just has to be professional and understand that's part of the job."
City's last trip to New Zealand in November ended in a humiliating 5-1 loss at Westpac Stadium, with Van 't Schip hoping for better luck at the Hutt Recreational Ground, where Ernie Merrick's men are sure to cause the visitors plenty of problems.
"Wellington is a very mobile team up front with [Nathan] Burns, [Roy] Krishna, [Michael] McGlinchey, [Roly] Bonevacia, who is circling around there from the midfield," Van 't Schip said.
"They have four or five players going forward who are very dangerous and mobile. That's something we have to be prepared for. Defensively they're robust."
City's coach confirmed Erik Paartalu, missing from the derby line-up due to a calf problem, would sit out the trip across the Tasman Sea, with goalkeeper Tando Velaphi needing to prove his fitness to be involved