Ronaldo was forced off the pitch midway through the first half after being clattered by Payet, and attempted to carry on playing before eventually being substituted.
It was a clumsy challenge from Payet, but the West Ham man is adamant he did not have any sinister intentions as he went in to challenge for the ball.
"It was a challenge, that's all, period," Payet told reporters. "I regained the possession and if I hurt him it was not intentional.
"It's not in my nature to be a bad guy on the pitch. There is no question about it."
Reflecting on what was a bitterly disappointing conclusion to the tournament, Payet admitted that Portugal made the most of their chances while France failed to make their dominance count.
He added: "We're disappointed. We were under the impression we were the ones with the possession and the better chances but we missed that goal that could unblock the situation. On the very few chances they got, they were able to score.
"A goal decided all. A goal that we couldn't score ourselves. The Portuguese side were more efficient.
"I think that if we could have scored we could have forced them to play more offensively and we could have counter-attacked. At the end that goal is cruel.
"We didn't score for a lot of reasons. We were able to score two goals against Germany while they got the possession. It is kind of the same game but the other way around."