The left-back is currently on loan with the Championship side.
The defender has been with the Owls on a season-long loan from Watford and has been a key member of Carlos Carvalhal's side as they have secured a spot in the play-offs.
But he explained that he wants to stay at Hillsborough even if they ultimately fail in their bid to secure that final spot in the Premier League.
"I don't care if we go to the Premier League or stay in the Championship; I would like to stay here," he told the Star.
"But I just want to focus on these two games. After this season, I will have the European Championships with Czech Republic.
"When we have finished the season, we can have the chat with the chairman and the manager and after that we will decide. I would like to stay over here but it is not up to me."
With the amount of business that his parent club did in the transfer market last summer, the 30-year-old may well have felt that after struggling to hold down a regular place in the Hornets side when they were in the Championship, his chances of playing regularly following promotion were slim.
However, he has been a consistent member of Carvalhal's squad since his move. Only Kieran Lee has started more games than Pudil in the Championship, and while Joe Bennett's arrival in January suggested that his opportunities would become slightly more limited, he has remained the first-choice to help steer Wednesday towards the play-offs.