Former England striker Owen's first-team playing time for the Potters since joining them in the summer has been restricted to four substitute appearances and then a start in last weekend's 0-0 FA Cup third-round draw at Crystal Palace, where he struggled to make an impact before being substituted in the 53rd minute.
Pulis said: "Michael has got a contract until the end of the season and as far as I'm concerned, he has not come in and said he wants to change it. We haven't pulled Michael in and said we want to change that. So Michael will be part of the football club hopefully until the end of the season."
Reports have linked the 33-year-old with a January transfer window switch to Perth Glory, whose coach Ian Ferguson has ruled out the prospect of a move but said the Australian outfit had been contacted by "an agent" to see if they were interested in Owen and that the matter was "discussed at a good level".
Asked about that, Pulis, speaking ahead of Saturday's Barclays Premier League home clash with Chelsea, said: "Is it true, is it not true? You just don't know.
"I read a story yesterday in the papers that (Manchester United striker) Danny Welbeck was available.
"Ask (United manager) Sir Alex Ferguson what he thinks about that. You have to deal with it."
There has also been talk of another Stoke frontman, Kenwyne Jones, being targeted by Swansea.
Questioned about that, Pulis - who reiterated that he is looking to bring players in during the current window - said: "There is Kenwyne, there has been interest from other clubs in other players. There is loads of stuff going on - it is the silly season.
"So we will let the silly season run and we will decide what is right for the football club and the players. We always take everything into consideration at this football club, and if it's right for the players and the football club, we will do business. If not, then we'll get on with things."