The Scotland international moved to Villa Park six months ago but speculation abounded over the weekend that he could be on his way back to Parkhead.
Celtic boss Gordon Strachan refused to rule out a move for Maloney and said: "It would be unfair of me to talk about that - he's signed to another club."
However, Maloney's advisor John Halliwell told the Scottish Sun: "All this talk about Shaun being unhappy is news to me but there's nothing in it.
"The last conversation I had with Celtic was in January.
"There is always talk about Shaun because he is a talented player but this is just completely made up.
"He's been working so hard to get fit because he's so desperate to make an impact in the Premiership.
"He's away to the USA this Wednesday with Aston Villa.
"It's a big season for him and he's just excited to now get his first full season in the Premiership underway."
Meanwhile, defender Darren O'Dea will miss the Hoops' trip to the USA after aggravating an old hamstring injury.