Practice is closed to the media, and Wannstedt declined to say how many first-team reps Fiedler and Brian Griese got.
Wannstedt added that a decision on his starter might not be announced until game day.
For his part, Fiedler said after practice he felt "pretty good" out there.
"I went through all of the drills, did a lot more full-speed stuff. The soreness was down to a minimum. I was able to go back-to-back plays for a good period of time."
When asked about his chances of being ready to play against the Redskins, Fiedler replied: "I like them. I felt good enough today to go out there and play. Obviously I still have to worry about taking a hit and there are still some movements that I didn't do today, like escaping the pocket and getting out, that I still need to test out before getting out there on game day."
Center Tim Ruddy, who didn't play against Baltimore because of a knee injury, took all the snaps in practice.
Finally, cornerback Patrick Surtain was able to practice. He missed all of the Tennessee game and most of the Baltimore game because of an ankle sprain.