STANFORD — Keller Chryst is cleared to go after sitting out Saturday’s game with an undisclosed injury, but there’s no guarantee that the redshirt junior will regain his starting job under center.

The Stanford depth chart lists Chryst “or” K.J. Costello at quarterback. And it sounds like it’s going to stay that way for the rest of the week.

“On the quarterback front, you will definitely have more questions than I will have answers for you, purposefully,” Stanford coach David Shaw said at Tuesday’s media luncheon. “But as of right now, you should expect to see both quarterbacks in some fashion.”

Costello, a redshirt freshman, come off the bench two weeks ago to lift the Cardinal (3-2, 2-1 Pac-12) to a 58-34 victory over UCLA in the home opener, then made his first career start over the weekend against Arizona State, going 15 of 24 for 173 yards with one touchdown and no interceptions in the 34-24 win.

The last time Chryst saw action, he walked off the field after taking a hard hit to his facemask at the end of a 5-yard scramble in the first quarter against the Bruins. Prior to that he struggled at San Diego State, where he was sacked four times and finished 9 of 20 for 72 yards with no TDs and two interceptions.

But Shaw stressed that’s all in the past. What counts is their performance at practice this week.

“The one thing that I don’t do, which multiple people know in this room, is I don’t sway with the wind,” Shaw said. “We’ve had quarterback situations before. We’re going to play our style of football, we’re going to play it well. The guys that earn the right to play will play. It wasn’t too long ago that everybody was calling for Keller Chryst.” Get Pac-12 Conference news in your inbox. Sign up for the Pac-12 Hotline newsletter.

Shaw is referring to last year, when Chryst replaced incumbent Ryan Burns at quarterback eight games into the season.

At the moment, even the players don’t know who will take the snaps at Utah on Saturday.

“It’s really just up to Coach Shaw right now,” running back Cameron Scarlett said. “I really have no clue what he’s thinking, yet. So just kind of going along with the flow.”

He added: “We just are waiting and anticipating just as much as everybody else to see who gets the nod and give them the confidence to let them know that they could do it and go after it and get it done.”

How will the coaching staff splits reps at practice this week?

“That’s one of the questions that I don’t have answers for,” Shaw said.

Any hint on who will start?

“That’s a great question,” Shaw said. “Now, for me, which I believe both men are strong enough to handle and I think our team is strong enough to handle also, there’s nothing wrong with guys competing now. There’s nothing wrong with going out there and give it your best at all because the other guy is playing well. I’m OK with that. I love both guys, I’m fired up for both guys, I want both guys to be successful. At the same time, when you go out there and take snaps at practice, take snaps at games, you’ve got to play. And that’s no different at quarterback than it is at the other positions on the team.” Like the Palo Alto Daily News Facebook page for neighborhood news and conversation from Palo Alto, Menlo Park, Atherton, Redwood City and beyond.

Could this uncertainty possibly divide the locker room, with teammates choosing sides between Chryst and Costello?

“I hope not,” Shaw said. “That would be unfortunate for those players, because when it’s time for 11 guys to go out there, all 11 need to go out there and do their jobs. There are guys on the team that love each and guys that like each other, guys that get along and guys that don’t get along. When the game starts, we go out there and play. And if one of those two guys is at quarterback, they still have to do their jobs. If we throw Ryan Burns in there at quarterback, everybody has to do their jobs. We’re out there to try to win football games, and we have to play together to do that.

“But we’ve had competition at receiver, at tight end, at inside linebacker, at safety. There’s no difference, and competition needs to bring out the best in everybody.”

He added: “The moment we don’t play guys based on production, now I’m doing everyone a disservice. So I’m never going to back down from allowing guys to compete.”

One last question: When will Shaw pick a QB for Saturday?

“At some point,” Shaw said.

He added: “We’ve got a senior captain who’s won a lot of games for us that’s going to play and a young quarterback that’s just starting his career that we will find a way to play, also.”

• Injury updates: Wide receiver JJ Arcega-Whiteside is doubtful, while right guard Nate Herbig was expected to be full-go for practice Tuesday after he was held out against ASU; cornerback Terrence Alexander is “close, but not completely back, yet” and inside linebacker Mustafa Branch is out another week or two.