Dalic saw his side come back from Alphonso Davies' early strike - the Canadians' first goal at the men's finals tournament - to win the Group F encounter at the Khalifa International Stadium 4-1 on Sunday.
Before the match, the Croatia head coach had urged his opposite number to show some respect after Herdman told his players to make life uncomfortable for their opponents in industrial language.
Herdman revealed he told his players "go and 'eff' Croatia" in an on-pitch huddle following their hard-fought defeat to Belgium in their World Cup opener on Wednesday.
He said: "I did not see the other head coach after the match. Whether I lose or win, I always congratulate the other head coach.
"He wasn't there and that's his way of doing things. He's obviously mad. He is a good coach, he is a high-quality professional, but it will take some time for him to learn some things."
Davies' second-minute header prompted a concerted fightback from the 2018 beaten finalists, who levelled through Andrej Kramaric and went ahead courtesy of Marko Livaja's strike before Kramaric and substitute Lovro Majer completed the job.
Victory left Croatia at the top of the group on goal difference, level on four points with Morocco, who had earlier provided the tournament's latest shock when they beat Belgium 2-0.
Dalic's men face the Belgians in their final group game on Thursday knowing a draw will put them through, although they will leave nothing to chance.
He said: "It will be a difficult game. It's a World Cup, there are no easy games. It will be a difficult match. Belgium need to win, but we will also aim for a win.
"We will not calculate, we will not make any other plans. This is going to be a difficult match.
"We have to get some rest, we have to prepare, we have to repeat what we presented here today, good football, rapid, fast football, a disciplined approach."
A second successive defeat means Canada will be going home regardless of the outcome of their final game against Morocco.
Asked if he regretted his pre-match comments, Herdman said: "I could have been a little more composed coming out of the huddle. That is my learning. I will take that on the chin."
In the meantime he will concentrate on Thursday's final game and the task of securing a first win at the finals.
Herdman said: "We've got a big game coming up against Morocco, a huge game for Canada in the sense of there's a lot for us to play for."