There was talk before the match that there must be something about Vladimir Petkovic's half-time team talks that injects fresh energy and impetus into his side, as they only really seem to get going after the first 45 minutes have concluded - four out of Switzerland's five World Cup goals have come in the second-half.
But Forsberg arrived in Russian Federation shouldering the creative burden left by Ibrahimovic following his retirement two years ago, and the attacking midfielder's skills and slick movement stood out at St Petersburg Stadium.
Switzerland has not scored a goal in the knockout stage of a World Cup since their 7-5 loss to Austria in the quarter-finals of the 1954 World Cup which they hosted with their last ever knockout goal at a major tournament since 1954 being scored by Xherdan Shaqiri against Poland in Euro 2016.
Switzerland was fortunate to still be alive at that point.
Albin Ekdal would have made amends two minutes later instead of finding Row Z. He previously appeared as a substitute in Sweden's wins against South Korea and Mexico. Their long balls forward caused panic and they were more bullish in their tackling in midfield.More news: Maryland shooting: Suspect barricaded doors and hunted victims
Sweden have reached the last eight just once since they were runners-up to Brazil on home soil in 1958, while 64 years have passed since Switzerland last graced the quarter-finals of this competition - when they were hosts.
The team will have Sebastian Larsson back from a ban, however, and the holding midfielder should go straight back into the starting lineup.
You can stream every World Cup match on fuboTV (Try for free). Then, in the second half, Switzerland midfielder Granit Xhaka lined up a shot from outside the area and very almost whiffed.
There was another success for the video assistant referee.
Referee Damir Skomina awarded Sweden a penalty in stoppage time for a foul by Michael Lang on Martin Olsson but overturned his own decision after a review showed Lang's push was just outside the area.
It didn't matter, though.