According to a recent article from Pro Football Talk’s Mike Florio, the Chicago Bears can’t keep Chase Claypool away from the team with pay unless Claypool agrees to do so. They could suspend him without pay, but they’d need to have some documented reason for doing so, and as Florio pointed out, if they had some, they would already be doing that.
Per the 2006 Collective Bargaining Agreement, at some point, Claypool can ask to return to the Bears, and if the team doesn’t want him back, they’ll then have to cut him or trade him.