The 26-year-old defender said his side should have held on to win the game, but refused to blame individual players following the match
The Real Madrid player had given La Roja the lead midway through the first-half with a side-footed finish, but Olivier Giroud's header in the 93rd minute meant both sides took a point from the encounter.
"The goal was more our fault than the virtues of France, but no one is to blame for the draw," Ramos told AS after the final whistle.
"We feel a little stupid, especially as we had the three points in our hands. We had chances to score and then we failed to mark them [France]."
When asked about the injuries sustained by his two club team-mates Alvaro Arbeloa and Karim Benzema, he said: "Let's see what the doctors say. Hopefully it's nothing."
Coach Vicente del Bosque admitted that Spain backed off in the second-half, and that this is what cost them as they conceded late on.
"We speculated a little when we were leading 1-0," the 61-year-old told AS.
"The truth is that we should have been tighter defensively in the second-half, but we were too open. We should not devalue the draw though."
Both Arbeloa and David Silva were withdrawn through injury during the match, something Del Bosque lamented after the game.
"It is a disappointment, and my thoughts are with them," he stated.