Reports in several media outlets have alleged the winger twice broke a club curfew ahead of games and that he has struggled to get into the team as a result.
But Pennant took to Twitter to refute the claims, saying: "I'm all over skysports saying I've been fined when it's not true the gaffa is going mad.
"So to all the Stoke fans and for the record there is no problem with me and TP. I have not been fined and we haven't fallen out at all.
"I respect our manager and I respect my team mates and most of all I respect the club and fans."