Sweden passed up a handful of opportunities before Granqvist's 65th-minute victor, with striker Marcus Berg missing two clear-cut chances in the first half alone.
Sweden, competing at the tournament for the first time since 2006, won a 65th-minute penalty after the South's Kim Min-woo brought down Viktor Claesson in the box.
The Swedes screamed for a penalty, and the VAR review confirmed that their winger had indeed been fouled, with the only question how the referee missed it.
But from his vantage point, Shin thought otherwise. But he changed his mind after taking another look, deciding Kim had tripped Claesson as he tried to clear the ball in a sliding tackle.
South Korea are ranked No.57 in the latest Federation Internationale de Football Association rankings while Sweden sit at No.24.
Despite a bright start to the match, Team Korea failed to create many chances, with Sweden looking the most likely to score throughout most of the match.
He said he had set his team up to include taller players, such as 1.89 metre (6 feet two inch) goalkeeper Jo Hyeon-woo, who excelled. "Since we now have one loss, we must play more aggressively".
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But Kim was mostly ineffective and was lifted in the 66th minute. We were the better team today.
Brazil, and their star Neymar, made their bow in Russian Federation in Rostov-on-Don but gutsy Switzerland battled back to cancel out a Philippe Coutinho strike midway through the first half of the Group E tie.
"I think it's good to have a lot of people in the crowd".
Shin said his players were unable to build on the early momentum because they were too anxious about the Swedes' physique and got away from their game. "The Swedes were so tough to beat in the box".
Shin said the lethargic performance against Sweden wasn't for any lack of trying, but the task doesn't get any easier. - This was Sweden's first win in their opening match at a World Cup since beating Mexico 3-0 as hosts in 1958, drawing five and losing two since then.
"We lost even though we prepared so much for this match, and we played really hard", Shin added.
"For 99 per cent of the time we are mainly interested in what happens in a match situation".
Andersson said his team needed to learn from Mexico's success against Germany and be bold and attacking.
"Against Germany, Mexico showed great speed and skills, and they had excellent counterattacks", Shin said.