"It definitely didn't go how we wanted," Cozart said of the running. "The plan was to run a little bit yesterday and if everything felt fine, I'd be playing today. That didn't happen."
Saturday's roster move likely eliminates the possibility Cozart will be dealt ahead of Monday's non-waiver Trade Deadline. His name had been floated all season as a trade candidate, but there was already a lack of demand for shortstops.
Cozart, a free agent at season's end who had been bracing for the potential of being traded, can probably breathe a little easier.
"I don't know if I will get traded or not. Being on the DL doesn't help, I'm guessing," Cozart said. "It will be less stressful on Monday, I'd imagine. But I'd rather have a better quad than to not be out there."
Cozart aggravated his quad while pinch-hitting and running the bases against the Yankees on Tuesday.
A first-time All-Star this season, Cozart has been bothered by the quad injury since mid-May and was on the DL from June 19-30. In 76 games, he is batting .317/.402/.568 with 12 home runs and 39 RBIs.
"The DL makes sense because it doesn't seem like he's a day or two away from being able to play or even go back to full activity without playing," Reds manager Bryan Price said.
Under new rules in the Collective Bargaining Agreement, DL moves can only be retroactive for three days. Cozart is eligible to return on Aug. 6 versus the Cardinals.
"Once you go beyond three days, there's no advantage to stringing it along," Price said.
One other positive development, Cozart believed, was that his quad didn't feel as bad now as it did when he previously went on the DL.
"I'm ahead of where I was," Cozart said. "I'll take these next couple of days, do some stuff in the training room, have off Monday and Tuesday. If everything feels good, get back out there, do some on-the-field stuff, maybe hit a little bit and go from there."