The PSV shot-stopper insists there are better teams at the tournament and maintains he is not interested in having been part of the team that ended Les Bleus' unbeaten record.
The former Manchester City shot-stopper has faced both sides and despite being beaten by the Three Lions, he insists there are several better teams left in the competition.
Asked about England's prospects, Isaksson told Goal.com: "I don't think they have the quality to win it. I think they are both good teams, but I think there are better teams in the tournament."
The Swedes ended their campaign on a high after two defeats by beating Les Bleus 2-0 thanks to a stunning goal from Zlatan Ibrahimovic and another from Sebastian Larsson.
Isaksson accepted that he was happy to have picked up the victory but insisted he was not interested in having ended France's 23-match unbeaten run.
"I think we played well today. We were a bit unlucky in the first two games, and we should have had at least one or two points," he continued. "But we had a good finish, it doesn't matter because we are out anyway, but it is good for the spirit of the team to finish with a good win.
"I don't think it really matters that we ended France's run. The most important thing was that we won and we did our best and we proved that we are a good team.
"This game was the beginning of something new, and it's a good start for the following games in qualifying for the  World Cup. So it's good that we ended in a good way in this tournament.
"We just tried to do our best. We didn't change anything. We were a bit sharper maybe today than against England."
Ibrahimovic's goal was a sensational scissor-kick volley and the keeper claimed that the AC Milan striker was one of a select group in the world who could have executed such an effort.
"It was fantastic," Isaksson beamed. "He's a world-class player and he's one of the few players who can score those kind of goals."
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