Reports suggested Shawcross had angrily confronted Kenwyne Jones over comments made relating to former manager Tony Pulis, but the defender insists that was not the case.
Jones is enjoying regular football under Hughes – something that was not the case under the former manager – and was one of a number of Stoke players to criticise Pulis.
|11/2||Stoke are 11/2 with Coral to be relegated
"It's the old cliche of don't always read what's in the papers, it is not always truthful," Shawcross told Sky Sports News.
"I think that is what has happened here - nothing really went on to be honest and team spirit stays as it always has been, fantastic.
"There are no problems with anyone and we are just enjoying our football with the new manager."
Stoke had started well under Hughes and went four games unbeaten following their opening day loss at Liverpool, and Shawcross has been delighted with the way the squad are adapting to the new style employed by the Welshman.
"We have moved onto the new manager and everyone can see the style has changed," he added.
"Luckily the performances have come with it because, when you change your style like that it can be difficult to get results, but we seem to have hit the ground running."