"I didn't see that, that's news to me and I'm little bit surprised by that right now," Wicky told reporters after the game.
"On the other hand, I don't think it had anything to do with the game or the performance but I'll probably have a word with him and see what he thought.
"Maybe Erling asked him to swap, I don't know!"
The Young Boys player was spotted approaching Haaland, who had already scored one of his two goals by then, as they headed to the tunnel and the two swapped shirts.
It is not uncommon for players to trade shirts at fulltime, as many City and Young Boys players did at the Etihad Stadium on Tuesday, but halftime exchanges are rare and often incur the wrath of fans who feel it out of place in the heat of battle.
Former City player Keith Curle told Sky Sports he would "be raging" as a manager.
City manager Pep Guardiola said the swap did not bother him.
"I don't know about it," he said. "We win 3-0. It happened, I don't know the reason why."
