The Owls have been given a 12-point deduction in the Championship for going into administration.
Pedersen said on Friday, "Today we have all received news that is obviously very distressing for you all regarding the club that you support and love, and that I have come to love too in my very short time here.
"Whatever the next steps are, I honestly don’t know right now. I am catching up on the news as are all of you and learning about the process of ‘what happens next’ in this situation we now find ourselves in.
"Firstly, I want to tell you all that I have a massive respect for you all. All of you. For everything you have done to fight for your club, and for the way you have all conducted yourselves during this incredibly difficult and stressful period.
"Whilst we currently are unsure of 'what’s next' I am sure of one thing. I am sure that the staff, the coaching staff and the players, 'YOUR Team' will still do everything in our power to fight for results and fight for the future of this club.
"As I said when I joined, the waters we are in may be very rough, but we stay on the ship! We don’t abandon each other.
"Being together is the strongest statement we can make right now. And sticking together gives us the very best chance of delivering the goals we all want, the success and the security of this club.
"I think we can all agree that never has a team needed its fans more than we do now. The atmosphere and energy you bring into the ground is really phenomenal and the players and staff need that, more than ever.
"I know times have been hard, and things are still tough but I believe this can be the beginning of a new era for this great club."
Change is coming
Pedersen continued: "You have fought so hard for change, and it seems now that change is coming.
"My one hope now is that on Saturday, against Oxford you all come together and pack the stadium out. That you create an atmosphere that can carry the team forwards as we fight for every single point.
"A full Hillsborough is unlike anything I’ve experienced before. We need you with us.
"We won’t give up, please don’t give up on us. We are all now in this together.
"I hope to see you all at the game tomorrow, and that it is a day none of us will ever forget."