He's signed for huge money through 2027. If they don't play him at all this year I honestly don't know if the Cardinals will be able to move him.
Even if a buying team thinks he can be a back-end top 10 QB once he's healthy (big if), they'll be paying him top 5-10 money. Plus whatever draft capital to acquire. All it takes is one (Atlanta? Tennessee?) but even if the Cards want to move Kyler, I'm skeptical on the demand he'll have. The return on picks will be minimal I think since the Cards will just want to get off the contract.