Does Ian Book have a chance at the job?

You can't permanently protect players on the practice squad. It's only a temporary thing you can do few times. He will be exposed to teams unless he's on the 53.

Risk losing Book, cut Seimian or keep 4 QBs. That's the only options.

Edit: I'm trying to remeber 100% if there is a weekly limit (can't find a source), but for sure the protection isn't permanent. After your game they become unprotected and can't be protected again until Tuesday. So they can be sniped on a weekly basis. Based on last years rules anyway.
Just looked it up. Teams can "protect" up to four practice squad players on Tuesday, but other teams can poach them on Sunday night or Monday. Book will likely make the team if he shows enough.