The 22-year-old attracted attention from a number of top sides, including Liverpool, over the summer as he starred in France's run to winning the World Cup in Russia.
Recently it was suggested that a €32m (£28.9m) deal had already been agreed for the youngster to move to Bayern at the conclusion of the campaign, but the player himself has now categorically dismissed the story as a rumour.
"You journalists said I had signed for Bayern but I am happy at Stuttgart," he told L'Equipe. "The World Cup arrived sooner than I expected, even for me.
"My plan was to stay another season in Germany. I am at a very big club with fantastic fans. I have signed nothing."
Pavard has spent two seasons with Stuttgart, who are currently bottom of the Bundesliga table after losing their first two games of the season.