Rodgers has been mentioned in connection with the Nottingham Forest job, with the current manager Nuno Espirito Santo's future uncertain due to a disagreement with the club's owner.
When asked if he would leave Celtic after a challenging start to the season, Rodgers was clear in his response.
"Absolutely no chance," he said. "We've been through this before and it didn't go well. I've stated my commitment to the club from the start and I intend to see out my three-year contract."