The 33-year-old, who was released by Manchester United last summer after three injury-ravaged years, has failed to make the impact he wanted since joining Stoke last September.
Speaking in Potters, Stoke's official matchday programme, Owen said: "You want to come in and make a real good impression at a new football club.
"I was very excited when I first walked through the doors here and then in the training up until that first game, I think the manager was debating whether to start me.
"I felt involved right from the off really, but since then it hasn't quite worked out as planned for whatever reason and part of that is due to having a couple of niggling injuries, but other parts of it are down to other reasons.
"The season hasn't gone the way I wanted it to because I have hardly played, hardly scored and haven't really been involved in the season at all as yet.
"Hopefully though, the second half of the season can be a lot better for me."