Hope Powell’s England side will face Group C leaders France on Thursday needing a win to have any chance of progressing to the last eight, with Russia under similar pressure against Spain.
Centre-half Renard, 22, broke free of marker Irene Paredes to power home a header from Louisa Necib’s corner on five minutes.
Bruno Bini's side looked set to demolish the Spaniards before they got a hold of the ball and played a possession game, much like their male counterparts.
However they were unable to break through the France backline.
“There are many games to go and we still need to show good form if we want to be there [in the final],” Renard said.
“We want to beat England in the next game and the rest will follow.
“It was very tough against a very good Spanish team. But we showed a lot of efficiency.”
The win at the Norrkopings Idrottsparken was France's seventh in 10 meetings with Spain, with the other three games drawn.
- Sports & Recreation